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UNIVERSTTY CIF CALICUT
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Ph1'sics in afl.rliateci colleges - nrodifications in the already approved
svllabus effectrrre from 2008 acirnission - inrplcmented - orders issued.
ivi
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No GA-l/.)2/ZO|Ol07.
Rcalc1:
Dated, Calicr.rt University. P.O. , 07.02.2OO9-
. 1. U.O. Nr-r.CIAI/J'2l26LO.lOZ dated 27.06.2OOg.
2. Item No.l of the minutes
3.
4.
of the meeting of the Board of Studies in
Physics (PG) of 04.08.2008.
item No.2 (xxiv) of the meeting ol-the Faculty of Science of 29.O8.2OO8.
Itern No.llA(23) of tire rneeting of the Academic Council held on
07 10.2008.
ORDER
'l-l-rc rer,'iseci
t
s-yllabus o1'\4.Sc physics course w,as implemented with effect
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DEFU'TY RSG.ISTRAIt ic &,A-Il
For REGISTIIAR.
r
Th,-:
[)rilct;rals;
ir!] irtltluite ,:l l:oiiege
oft-eri r-lg M.,Qt: Ph-ysics (:oir i-se.
Coi.x;
,o1-
;._:
tp' tlii-. ilX
St-.ction, DR (I?G).
'l'abu lation S e ction, Iixamina tion r-n c1 rr. iry,
Information Centres, G&A-I'F'
G&A-ll, III Branches.
Src-iior-r,
Forwardcd/By Crder
&ry{t,
SECTiO}I OFFICER.
D:qSyrtmalal(iAl \-t 51;atrrt Or<]er-\26t0-O'l-ii,i Sc ptr.-sir.sr (0, 02 O9) do,-
t.
.\
UNIVERSITY OF CALICUT
REGULATIONS, SCHEME AND SYLLABUS FOR
M.Sc. PHYSICS
(EFFECTM FROM
I
.
2.
3.
-
4.
5
2008 ADMISSIONS)
the B'Sc'
Candidates who have secured 50%o marks in Physics (Main). in
.Degree
with
Mathematics as a
University
other
any
of
ination
exar
equivalent
an
or
Examination of this University
compulsory subsidiary paper, are eligible to apply for adm
Durition of the course shall be 2 yearc, split into 4 semest
days, with a minimum of 5 hours of irxtruction per day,
Eligibility of admission
:
seirester examinations shall be held over l0 working days
There shall be a minimum of 60 hours of instruction per th
per paper per week'
practical paper in each semester, i-e. a minimum of 4 contact hours
of 3 hours' duration for each theory
Scheme of Examinations : There shall be one extemal examination
Each written
paper at the end of each semester, to be conducted after the completion
Section A
ns:
paper
shall
question
The
80
marks.
examination will carry a maximum of
three
general
each
g.^ph urr*"rr, I0 to be answer"d out bf 15,
er answer
consistin
anemPted:
be
to
are
which
of
fwo
unit,
iull or
rt of four;
to bc an
15 marks each. to bc atrswered in tu'o orthree
I0 malks'
le)' each
problents.2 to be:tnstvctecl ottt ol''1 (onc [rom
('\illl)Dl!'s lrt-il.t: rertboi'ks'
1'he problertrs sirajl nol irc tttut'' lc1-'t"tj'''tt""' 'ri i"'rl\':LJ
r'llucs
in
fon;tulac
substitution trf
Practicals PltY lo-5 and PHY 2ti'5 should involrt'etror:tnalvsis
r 't :jlirll
ihcr' hc lncre
tcachets from another
6. The extenral Practical examinations shail hc of 6 liours duration' Tu'o
rccords s.hall be
obserratiott
laboratory
]'he
exunrtnation'
lhe
College,Univcrsitv i)epartment shall conduct
hrve hce:i carried out'
of
cxdlliloers' covering the
l-]'
c(i
V
7.
theoryrve[lthatsellcster,TlreVivaVocshallr,crify*,herhcrthe
fol the laboratorynotes'
ster bv callirlc
xperinrcnts clu
the r
"Halt
student
a mark each ma'v be
tt"oti' also
Evaluation in the Viva Voce shal! inchrdc valuatton
uunrber required) not
the
minimum
of
eaclt
vtrce
for
the
viva
for
deducted fiont the marks
Vcrifi.-d by tltc cranritters to ensure ihat the' rcrltlilctl Ilititirnuni nunlbei
selnest\:!-clld exalniuurit'n
hu
Viva
ther PIIY 306 (Advancetl Elecironics I) or PI{Y 307
list of Pro.iecs will be prepared by the Board of S
students oi that Centre from this list only' The sam
work had been carried out at that institution'
This shalt be attested by the teacher-in+harge
students shall prepare a detailed rePort 9n their work'
institution, ifthe work had been carried out at
the
external
at
concerned at the centre ('3,rd the relevant
ll.Such
"rtno.ity
some other centre).
l2.EvaluationoftheprojectrePortaswellasavivavoceshallbeconductedbythetehmoftwoexternal
The Project shall also carry
examitrers at the time
Ji ti"
f-rtirul
examination at the cnd of the rVth Semester'
1
an interDal cvaluatior to the extenl of l5 marks, to be based on regularity r'attendance. nrotivation and an
intemaI presentation
l3.There shall be intemal assessment for all theory papers to the extent of 20 o,i marks per paper per scmestcr.
These marks shall be awarded based on the tbllorving schcme
Test papers (Best tu'o out ofthree) :
6 mark
Viva voce/Seminar :
5 marks
:
Assignments
Aftendance
:
5 marks
4 marks
:
Total
20 marks per paper per semester
The answer papers, after evaluation, shall be made available to the students for their perusal and then kept in
the Department for later inspection, if the need arises.
l4.Observations as recorded during experiments in the laboratory shall be evaluated on the spot (The practice of
presenting a fair copy of the same is to be dispensed with). The laboratory observation record is to be presented
before the extemal examiners at the time of the Viva voce examination in each semester for their verification.
Evaluation for practicals shall also consist ofintenral and external components. The split-up ofthe marks is as
follows
:
Internals : Total l5 marks in each semester lbr each practical paper:
()[)sci-\i]It l1'(-\,tJ rrn,j i:tlrtrlati,rns
i,rtlrrL:
l:rt-tlr anirlYsts
Vira Vocc
I
Regularity l:rd attcndance
Extcrnal: Total I20 marks (At the end ol llnd
IIlrd
& I! combined
).
(PH\ 305 and PHY 306)
: Total I5 nrarks for each papcr
Senrester:
lnternals
lVlh
nrarks
3 nrarks
4 rnarks
scmcster f<rr I
Senrester
:
Internals for practicals : Total l5 marks for anv one of405,406,407 & 408.
External : 120 marks for 305 & 405 combined; 60 each for 306 & anv one of 406 ,407 and408 ancl 409
'fhe rnarks dislribution for the project PHY 409 in rhe lourth scrrester
shatl be as follows .
lnternal : l-S nrarks
External : 60 marks drstributed as follows
Project llepon
Presentatiotr irnd extemal viva
'fotal for project
.
30 rnarks
15 marks each
75 marks
The internal assessmenl marks shall be forwarded to the Controller of Examinations before the start of thc cndsemester examinations.
15. There shall be provision for grievance redressal at three/fou levels
l) at the level ofthe teacher concemed.
2) at the level of Departmental Cotnmittee (consisting of the Head of the Department, Departmental
Coordinator of Examinations and the teacher concerned) 3) at the level of the College Committee consisting of
$e Principal, the Head o{the Department and the member of the College Couocil nominated by the pri-ncipal
each year and also student member of each class (The third level Committee is not applicabte to the University
-
Departments) and 4) at the Universiry level, a Committee consisting of the Pro-Vice-Chaacellor, Chairman
P.G.Board of StudieVSubject expert, nominated by the Vice-Chancellor, Controller of Examinations and the
Convener of the Standing Committee of the University Syndicate.
l6.The internal assessment marks shall be published-in the Deparhnents. The students should lodge their
complaints in writing to the grievance redressal coniinittee within one week and the dccision taken wiihin the
next two weeks of the publication of the marks. Appeals, if any, on such decision shall be filed in the Cotlege
level Committee (Universiry level Committee for ihe students of the University Departments) within a periJ<i
of one week and decision taken within lwo weeks ( within one montlr for the University level Committee).
Appeals to the Univcrsity Level Committee along with fees prescribed from time to time shall be preferred
within one week of the decision of the College level Committee and the decision taken within one month from
the last date offiling complaints announced in advance by the University.
l7.The University shall do normalization of internal assessment, when there is inflation of marks in internal
evaluation. Ifthe difference in the percentagc ofthe external rnarks and the percentage ofthe intemal marks of
any student is more than 20Yo, the internal rnarks shall be brought down to timit the difference to 2Oo/o.
I
Nrrrrualizaliorr once clfecled shall hc lrrc\()L]iIblc. c\ecl)t ilr llrc tasc ol'a sludcr)l trltqr:tJrpcals lrr ll:e sticrtittec
redressal cornrnitlce.
1 8. The nrininrum marks required for a pass is J(l% lirr thc crlenral uxarnination for cacli papcr rnclutling I)ractical
and Viva Voce There shall bc no separatc rninimunr lbr thc intcmal nrarks l'he grading ol'the students l'ill
bc as follou's:
'fotal
50o
nrarks
ao 59Yo
60'/. to
79o/"
Grade
II class
I cl ass
I class with Distinction
80% and above
l9.Candidates who fail in apaper/papers can reappear for the subsequenl regularexamination ofthe subsequcnt
batch.
v
1
SCHEI\IE OF'PAPERS
sEl\,r
nsTER
Title of Paper
Paper No.
PHY IOI
Nlax. Marks
Max. Marks
I'otal
(External)
(Internal)
80
20
t00
80
20
100
80
2t)
80
20
l0(
l5
t5
Mathematical
Physics I
PHY I02
Electrodynamics
and Plasma
Phvsics
Classical
Mechanics
PHY I03
I
i
.Sl.l1,l
PHY I04
Electronics
PFry I05
PHY I05
Practical I
I'LIY ICll
\-ir r Vrrcc
i-s ! LR
I'aper
'l-itl:
No.
PII\'2()I
ol'
,<0
Paper
I\Iax.
Ilarks
(Erlc':nrll ,
Nlathcn:atir:al 80
;
llar. Marks
(l!!sr!ql)
'f ota
20
100
l0
r00
l'hvsics II
PIJ\'202
,-
PHY
i
,
203 I
PHl'204 I
)
Nunrericol
Stt
antl
(.orlputer
TechniqLres
ogramrning
Pr
Sratisricai
l
i
Mechanir:s
l
Qua,,ti,I
;
i\{echanics
SO
80
PH\' 205
r20 ( r05 & 2o5
,,
PH\'206
III
SEMESTER
Paper No.
PHY 30I
PHY 302
PHY 303
PHY 304
Title of Paper
Max. Marks
(External)
Max. Marks
Total
Nuclear Physics
Solid State Phvsic
80
80
r00
Quantum
EO
20
20
20
Mechanics II
Elementary
80
2t)
100
l5
l5
(Internal)
r00
100
Particles and
Astrophysics
PHY 305
PHY 306 / PHY
Practical V
Practical W-A or
307
VI-B
PHY 308
Viva Voce
l5
50
Total
l5
50
480
I
i
IV
SEMESTER
I'itle o[ Paper
Paper No.
Nlar.
l\'Iax. Marks
r
Illcctrvc I
Elcclivc ll
PHY 403
Pt{Y 404
Pl{Y 405
Practical Vll
PHY 406/ PHY
t PHy
408
80
80
120
(for 305 & 405
lll
Electivc
/
Practical
OR
20
20
80
\rlll
'I'olal
arks
)(l
PtJ\', 40
Pt{Y 402
407
Nl
_L
__
IOt)
_l__
100
i
I00
20
100
combined)
l5
135
t20
r5
(106 & 406
combined; or 307
& one of407,408
OR
PIIY 409
Prtlec(
60 (307) and 60
(409)
PH\'410
Viva Voce
l-otal
I
5 (For 409)
t
l
:15
I
5(t
721)
Notc: Computer Prograrnming can bt,carricd out in \\'indous or usirrg l-lN|x (()s)
I is( oi i icetii I'r
Note : One to be chosen fronr each cltrstcr - -.\nv ccntre ma1 oflcr uroru than one lllectirt,ll-ont :l clr:stc:sintultaneousl)', but a student shoulrl seler:t onlv one from each uluster
Cluster I
- Advanced Electronics
- Advanced Nuctear Physics
PIIY402C - Plasma Physics
PHY402D - Advanced Astrophl,sics
PHY402E - Phvsics of Semiconducrors
P[IY402F - Fluid Dynamics
PHY402G - Modem Optics
PHY4O2A
I'II\'1(r-il) ('()t)tnntcl- Soiluaru antl Applit,rr:,,,,,
l'}ll\'.+l)]F- - Itisitai Silnal l,rocr.ssrng
Pll\ J().tl' I{edratiru Pirvsics
PHY402B
Cluster
ll
PHY403A - Electronic Instmmentarion
PHY403B - Communication Electronics
PHY403C -- Material Science
Cluster
Clusrer
I
ll
PllY404,A
(-)uantunr Fie ld Theorr
- Iixperirnental Techniqrrcs
Pt{\'4(X(. - t ()ndcnsed IVattcr Phrsic.i
PHY404l) - Lllraos and Nonlinear dvnlrrrics
PHY404I,-- La.sers and fibre Optics
PH\'404F - .,\dvanced Statistical Mcchanics
Pll\'4041-)
III
PHY404A
PHY404B
- Quanrum Field Thet,qv
- Expcrimehtal Techniqucs
Ptry404c - Condensed Matter Physics
Ptry404D - Chaos and Nonlinear dyranics
PHY404E - Lasers and fibre Optics
PHY404F
-
Advanced Statistical Mechanics
Appropriate new electives may be added to the above clusters by the Board of Studies from time to time in
order to incorporate new and growing fields of Physics.
6
DETAILED SYI,T,,4BUS
SEMESTER I
pHyt0l : MATHEMATICAL PHYSICS
I
I' \/ectors :
Rotation of,coordinates, orthogonal curvilinear coordinares,
Gradient, Divergence and curl in
orthogonal cu^'ilinear coortlinates, Rectangular]
cyJindrical
Laplace's equation - application to elcctrosiatic
n.ia .na
Sections
tl and
ts.,
1
;lar
co.rdinares, Lapracian operator,
vtctor integration
(9 hours)
-2.5
uni
s : Basic
,"d ;h.;;
wave equations,
,,,xffi#?1,"?T:r.T3 1l,Ji,.ji;#.,Ti:#,::,:
quotien
I)ual tensors. l_cvi Cevita s1.nrbol. i.r.arl;irl. t.nro..
(9 hours)
ial equations ol'physics, Separation ot- rariables,
sccond sol
ut
ion,
Sel l-_adjoint
Itiilt ()p('rrtors urrd lhcir
i
r'r! I ! rlletr Ji \\ r.i', , . r.: rir,rrs fl,i. B..l
,.
r:rnitr),, ltrD..tion.
l"l.a, r.,.: .- !,
fi,.r
I
j
i_cgcndr.c
tirnclr
reratitrn,
rlcti()n,
rieal ha
tt'e[x'r. Sccrrons I0.1, 10.{. r.r5, Ir.r
transftrtt,,
l!{}Urs)
ctton. Ijess(i tirnelions ol
mann tunclrurr- Sphericar
n. Rotrligucs, formula,
polvnontials, Lrguerre
-
-
r-].r
120
hours)
i:r;;r:il;;i?"
'fext : Arfken & Weber.
Sections l4.l _ 14.4,15.2 _ 15.5, l5.g
'fextbook :
l.?;*fl:1T#iH'J'weber
uation,
I I..r. r r.7, lz.r
12.4,12.6, l-j.t.
pl-operttes. Advantages, [Jses 01'Fourier senes.
l)roperties ol- Fourier series, Fourier
Properties. Inverse ,-"rr".,,.
a"rirati"., con,olurion theorenr.
: ('clrcrai
il
1il
ltir
polv.rr
et1
proD(.r.rrc\. Schrniclt
I
rtrs (it'lrcrating funcrio
(rtl(il'c l)(rlYrlontials, (
:ri(\l
diflircnt ial
0
(I
hours)
: "Mathernatical Mcthcrds lor physicists (5'h Edirion,
2001),,(Acadernic press)
t.
2
ts (3'r lidition)" (l\lcGras,
.1.
4
Hill)
India2}O2)
5.
PHYIO2 ELECTRODYNAMICS AND PLASMA
PHYSICS
I'
Time varying fields and Maxwcll's equations.:
Maxwell's equarions, potential functions, Electromagn6tic
,"a tri.i.,orrii*r,
r*.
boundary conditions, wave equarion,
Text : Cheng, Sections 7.3 -7.7
r,r.,,L-i.-r*iar'
,qr,ruruu
rttrrus
(E hours)
sin
ata
ane
(10 hours)
3. Transmission Ii
Plane transmission
General wave beha
Cavity resonators
Parallel
n lines,
guiles,
(12 hoiirs)
g.4 , ro.z _ r0.4,
cs: Magnetism as a rerativistic phenomenon, Transformation
ng uniformly, Erectromagnetic fierd tensor, Electrodynamicsof the fierd, Electric
in i.nro, nit"t on,
istic electrodynamics
(14 hours)
ro.7
)
l)
-l '5
Scc
ics:]|()]l.e()llcCl]l'Sol.plalllctcr.Dcbyeslrictdirrg''\,lrlttrlnLil.ch.tr.lcd
t19 ficltls,.Boltznlann and Vlastri c(luall')ns'
tlnrtirrnr t-it'ctnc.at
ti
Icctro
)ns,tittllentcquatron'llleticrvaves'tnagnetosonicu'';rrc-slrnd'\ll\e:l
(16 hoursi
wavcs
Text : Chen, Scctions
Text Books
l-l - 1.6' 2'2 -2't'2'l'l - 3'3'2' 4'3' 4'18'4'19
:
i. o"uia K. cbcng :,, Fieltl
and wavc Elecrronragnerics" (Addisson wes]gv)
-_
2.DavidGnfliths:..lntroducloryElcctrodylarnics'.(PrenticeHaltoflndia.l989) I and II' Plenunl Prcss'
Vol.rne
3 F. F. Chen, Introductio,, to ilur,r, Ph-vsics ancl Controlled Fusion,
reconL
edition
Reference books :
Calcutta
t. K.L. Goswami, lntroduction to Pla-snla Physrcs.- Central Book House,
(Witey'1999)
(3d
Ed.)
Iilectrodynamios"
'iClassical
:
lr"kron
z. i.D
PHY
103
: CI..{SSIC.dL
N'IEC}I'A'NICS
oordinates' D' Alcrllbcr
Hanrilton's Principle'
onian F-ormulation : Constraints an
Velocity clependcnt potcntials. Sinrp
ansfcrrrnation to lrth c
rettott' ('altotticrll lt'ttl'
prir,:iir" ls.lr,r"rirg in a ccntntl
I I;rrt-ri]1r,rr'.
i llll!r!ll!,ll
l')l
-'(ltll)llr)ili
ll
j i:.:. N.:, E l 'r'.: i
: L:L1LI,tttItls tli
,,i'Itroiiott iil I)oi
rrincipal and ch:rt
-lr:rclc
i:rrr:ti)lls-
-
I \'l
llltrl'
l!:ll ilitllili)Iillilli()ll5'
rackct f ornt- '\l-'illllt:
lic iirtlctron' Il-'l !''lilrlilon
rtrttllttion 'il loc Kenlcr pr
(
15 hrrtt l
r,.7. 10.8
Spacc-lireC, arlcl bodl-tirctl st'stcms ol co
osirre-* i rrd t]rrlcr aD-rllts. ]nllrlitcsirrliil rrrtatirrr
cnt r,l inertia Lcnsot. I'luler's cqttation ol tnotit
r;
t
fre
'fe
4.
1'
(r
rigid bodY'
4'1,4'1,4'8 --'1'10
n. Sections
"Fn.nlul"iin,l
Iicenvliltrcs'
ol'thc problenr. i:igen vtLlur,: erlttrtion. Eigeuvectots arlcl
ahons:
l"tc:t 'n'ibrslirrns
],
Nornral
i'ihratiotts.
niti".
[.rcquenci
principal
axis translontrution.
'oordirlatcsorthogorralir_v,
(ti hours)
of a linear tri attrmic tlrolectrlc
l'irnrl
si.s.rar p.inrs olrr:ueclories. N.,li.ca.scillirtto's'
l."i;,f,""tfjt;ti;rtiifSlLl'iilu1 r,,u.,ruoio,1,
(12
h,urs)
points, l,i.iua'aouuting, univcrsalitl'.
cyctes, chaos: l_ogistic *"ri o"tr"iu,,"s,^Fixed
10'51
10'5'
10'4'
l0'3,
l0'2,
Text : Bhatia, Sectionsl0'1.
,
..Classical Mec}ranics,' (Addison Wesley)
(Narosa Publications' 1997)
2. V.B.Bhatia : "Classical Mechanics"
Text Books : 1. Goldstein
onlinear DYnatnics" (WileY' I989)
McGraw Hill)
ical Mechanics" (Tata McGraw Hill)
Wesley 1998)
12'd Edition )" (Addison
ag, 200'1)
PHY IO4 ELECTITONICS
t. Field Effect Transistor : Biasing of FET, Small signal model. Analysis of Common Source and Common
Drain amplifier, High fiequency response, FET as WR and its applications, Digital MOSFET circuits
(E hours)
:
Text
Millman and Halkias : "Integrated Electronics" (Tata McGraw Hill 2002) Sections 10.4
Reference : Electronic devices and circuit theory, Robert
(fifth Edition)
2. Microwave and Photonic Devices
:
L
Boylstead & L. Nashelsky
-
-
l0.l I
Pearson Education
Tunnel diode, Transferred electron devices , negative differential
resistance and devise operation, radiative transitions and optical absorption, Light emitting diodes (LED) - visible
and IR, semiconductor lasers - materials, operation (population inversion, carrier and optical confinement, oPtical
cavity and feedback, threshold current density), Photodetectors - photoconductor (Light dependent resistor- LDR)
(l 2 hours)
and photodiode, p-n junction solar cells - short circuit current, fill factor and efficiency
Text : "semiconductor Devices- Physics and Technolog-v" - S.M.Sze , John Wiley and Sons (2002) Sections
8.2,8.4,9.1,9.2,9.3 - 9.3.3, 9.4,9.5 -9.5.3
3. Operational
Amplifier
:
Basic operational amplifier characteristics, OPAMP diflerential amplifier, Emitter
coupled differential amplifier, OPAMP paramelers (Open loop gain, CMRR, Input offset current and
voltage,output off\et voltage. slerv rate) and their lreasure(nent, F'requency respo,rse. Principle of Bode plots,
I'hlrsc irId llain nrirrgins. [)()n]Uratnl polc. polu zcrrr antl lL-J(l corlrpc]lsittiotl
lt..,i : \li!lnlur, rrtrr! llalhi:is : "'ln(t'grrlt.tl llicctr-r:lie r'' (T':r1r ll.^(ir:ir'.
(l 0 hours)
31i!1
2{X.ll) St'rtiuirs
l5 : ,- !::4,
!5"6
ri.8--i5.ii
J. Ol'Atll' ,\pplitatioir : Ol'-\i\l1'as
irrrcrT,r. -sclrlr'clr.rngr'r. sullrnrcr \ Lo icon\t'i'tcr. Atrllttr tni(qIrli()li Jn(i
computetion. .\ctirc lori pass tilter, tligh pass Rt!11-r:\\'orth filt,:rs 13an,i J,.15';
flltel . Actir,e ri:ionant ba:id pirss lllter, O['AM[' bascd astablc and monostable r-nu]tivibratrrrs, SchnritiL trigger
(i2 hours)
Icrt : \lillnran and llalkias : "Integrated Elt,ctronics" ('fata \'lcCrau llill 2()02), Scctions i6.5 - 16.7,
tiillcrcntiirtion. lilcctrorric
lrralo-e1
t6.15, r6.t6
Reference
:
l. Ramakant A. Caekwad : "OPAIIIPS and Lincar lntegrated (--ircuits"
2. D. Roychoudhuri : "Linear Intcgrated circuits" - Ner+' Agc Intcrnational Publishers (1997)
5. Digital Electronics : Minimization of functions using Karnaugh map, Reprcsentation using logic
gates, JK
and MSJK tlip-t)ops, Svnchronous and asynchrtmous countcrs, MOD 3,,i,t0,16 counlcrs, Cascade counlers Static
and dynamir: random access memory, CMOS, Non-volatile NMOS, Magnctic mernories, Charge coupled dcviees,
Micrttprocessor irrchitectrrre. Organization of a general rnicrocomputer, C-PU arohitecture of ti bit proccssor suclt
as
Il-'l'EI-
'Iert
8085
12(l
hours)
books for module 5 :
l. Malvino and Leach : "Digital Principles and Applications(3d Ed.)" (Tata McGraw Hill, l97E)
6.5 - 6.9, 1 .2 -
.5, Chapter 8 complete, 12.1, 12.4, 12.5
"Modern Digital Electronics" (Tata McGraw [fill) sections 11.9,
Sccfions
7
ll.9l - 11.93 (For charge
:
coupled devices)
3. B.Ram: "Pundamentals of Microprocessors and l\Iicrocomputers @hanapathi Rai & Sons) Sections 1.5
2. R.P.Jain
1o 1.7,
3.I - 3.1.6
Gcneral references
I
:
-
Tyagi ; "lntroduction to Semiconductor Devices" (Wiley)
2. Millman and Halkias : "Integrated Electronics"
3 Gupta and Kumar : "Handbook of Eiectronics"
N4.S
(J
PHY 105 (Practic:rls I - (;l'lNI'lR,{t, PIIYSICIS l)
in the rcsptctir t'
Note : l AII fhe crpcrinrcnts should involve crror analysis. Internal evaluation to bc donc
itself' ['raclical
scmcster
each
of
scmesters and marks lo hc intimated trt thc controlier at the end
One tDark is to
scmestcr'
each
voce
in
viva
time
of
at
thc
examiners
the
to
observation book to be submittcd
of
8 experimcnts
a
total
iI
the
student
by
be deducted from internal marks for each experiment not done
are not done in each semestcr'
Centre. Nerv Delhi, nral
2. The pHOENIX Experinrental Kit devetoped at thc lnter Universit-v Accelerator
possible'
*'herever
be used for the experiments
(At least
E experiments should bc done)
of
(a) elliptical (b) hiperbolic fringes. To detcrminc Y and o of the rnatr:rial
set up
an
interference
in
formed
fringes
hyperbolic
and
elliptical
the
the given specimen by observing
2. Y and o by Koenig's method
by rneastrrcnrcnts
l. Viscosity;f a liquid - Oscillating disc merhod. To determine the viscosity of the given liquid
on the timeieriod of oscillation of the disc in air and in the liquid
surlace tension oi'\\'llL'r a1
4, Variation of surface tcnsion with temPerature - Jacgar's method. To detennine thc
instant ol burstlng rtrsrJtthe
at
diameter
diffcrent temperaturcs hy Jacger's .rsthod ol obseru'irig the air bubble
I Y and o - Interference melhod
water
of a stcel vibratilg strtp'
5 Mode constants ot'a vrhrating strip. To determinc the tlrst and second mode constants
y to be measured bv thc Canrilelvcr method and lreqrrencv of vibration b_v-, thc NIclde's strinq [nctliotl
() stDtirn's coilsianl - f,r Jcicrtllitl.- Srr-fan't ('(lllslal'll
^1.'rrllsi;tn1s,ri-rlh.till"-",ri'i.'1il(lt'lll|'i'liLL''Lrlrli":ri':tl
,.i-)ttirtr.ii!,rli!ltl!ir'l:"j:l(llli'lirli(i'itrb'i'r't'L'1"\irill()(l
i. rthcn thc n:llgrlelisiltr r'l clli is cllattgctl lir'rnl tllr
i(t. Diclectnc collslant h. ieil r \\'ir-e - ftt delcirlritlt !
lrntl the rlicleclric (oll\lanl t'flli,' ::tvr'rr tlil b1 tllcasurenlt'
i I Nlarwell,s Li[] br-rJsu -l-ri rleicrntine iilc rcitstiin
\,lirnveli's Lt(I britlgc
I-l (
It ill:'rs' iii'rl'rr
cr \\ lrc ]etiip'
Il ilr(itrir''r lr\
Refercncc books
& co (19501
l. [J.1.. worsnop and ll l-. F]rnt - .A<'l\.anccd Practical Ph1'sics tbr studenls--^Ivlethuscn
(1970)
Rutterrvorlh
2. E.V_ Srnith -ila,ual ol':xperi.ic,ts in applred l,hisics
-1 R.A. DunIap - fixpcrutrt:rltal Plrysics 4. D. N{alacara (ed)- MethoJs oi
--s
Sp Singh
Mo.l.r.r nlethods _ Oxlbrd Unil,crsity
"ip"rim"ntrl-\Iol
Adr,apcctlll.-,rr,ticali'h1'si.s
Press (198S)
(1988)
Ph1'sics - scries of volumss - Acirdet.ic Press Inc
l&ll .
l',ug"tiPrakasan'N4ecrtrt12003) -l-l'r'Editiorr
t0
PHY I06 (Practicats II - ELECTRONICS t)
Note : At least 8 experiments should be done. lnternal evaluation
to be done in the respective semesters
and marks to be intimated to the controuer at the end o[ cach
semesler itself. practical observation
book to be submitted to the examiners at the tinre of viva voce
in each semester. one mark is to be
deducted from internal marks for each cxpcriment not done
b1, the student if a total of E experiments
are not done in each srmester)
l.
the characteristics of a MOSFET and to determine VO
2.
3.
axation oscillator & sharp pulse generator
)
and full wave)
egulation characterisrics with load for different input
1.
5.
(input, output resistance, fiequency response with
6.
( input and output re
mon source (frequen
7
8
';
B push-pull
porver
&
onse including Bode plots)
resistance)
(Ito impedances, efficiencv
I)rlltrtnliitl ,rIrltlrti-,r rrr:l-L ti:ill:isir.ri /i () ir iI,.,,iirrL.,, r,a.tr;atrL\
i.sil1),ic- i .\:l(li
f
li i),,rlrns,,'11 plr:r :Urrplrlier ic:tIl. li(.quenr.rl,.,*;.,., .... i!ljlr;i
.,i,,lltnut rrst\tarjL.,\ l
oscillator trsjnc ()P '+MP 1l'or ilillcrr:irt li.'qticrciis.
cistorri,. ti.c rtr icctiback rcsisro;, conrprre
l;,,.\:::rlliil:.ic
I'l
Sar'i'tooth qcncr:rtor tls!tlq tranlistors aDti 1,1:ller :r\\,(rci) (ircurt
rr:.;iirg opAlvlps ftLr tjitli:rent tiequcncies)
Iteterenee Books:
A 'fsxt Book Manual - JMI{ publishing ( l9g3)
- l-ara l\4cGraw Hill ( I992)
evici.:s aud circuits - Merrili hternational series
0
9E5
)
rlres t 1 984)
I I & II - Pragati prakasan Meerut (2003) _ l3'h Edition
li
sEl\IES'l !lli
trI
PIIY 201 : NIA'fllEl\1,\Tl('.\L PHYSI(lS ll
(iatrchl's irrtcgral
l. Functi,ns of (,',rnplcr !'ariables : Introtluetion. Anallticity. Clauchy-Ileinltttll cotttltttttns'
a,plicattorls (t I h.urs)
ifrcsrdtres arrd
theorem ancl integral lirntrula. L-aurent expansion, SinpLrlariiics,6alculus
1'2
1'l
6'5'
6'1
Sections
Wchcr.
Text : Arflien and
Subgroups' [)rrect prodtrct
C.nup.r, Vritipii.utinn Table. Conjugate elements and classcs
(12 hours)
givcn,rtler'
of
groups
ho'n<.,rnorphism, Pennutzrtion gro;ps, Distinct
groups, Iso'rorphism
"r,d
Text : Joshi, Scctions l.l - 1.8
,
2. Group Thcorr'
3. Group Representation Theory : Unitary
re
interpretitions. C-haracter of a rcpresentation. Ch
Abeian and nonr\belian grorrPs- Connection rvi
equation, Slnnnretry and degeneracy, Basis functiorls o
applicrtions (Qualitative only) to Nuclear and
P
(15 hours)
I'exts : Tinkham, Scclions 3'l - 1.5' 3'7' 3'8
Joshi , Scctions -1.1 - 3.6, 3.8, 5'4' 4'5' 4'lt
lnd ()r)c independent variablc' 'A'ppl:catiorls ol Lhe Eulcr cquatloll'
ables- Several dependent and lndepcndcnt vartables' ,Lagrangc
of Variations '
on to several
Variationsrrbleca-vleigh.Ritzvariationaltechniqrrc'(9htrurs)
7'8
Weber'
equati.ns. - intrrrdLrction' Int'gral transfortlls rlncl
5. Integral equali,ns ,ni G.cen'. [unction : Inler]ral
( it'tetl's
(
s lirnctiorl N(rll lt(rlllt'rlt tlcoltt
'(ltlati(\lls
l:eittnrljnrl liinctirlits- \ttlltt,;tttr tcrics scpltt'ltltlc I'ci r':ll irecrl
en antl
lit..li,,t
i
lri
(i .i,ti.,tt
: .\rlkert atl,J \\
cll(t'.
.lll''l
ilriteLi,,|- lL'illr'.
r,: t,rt-i-':
.rre
iions i6 l
:i' '' :l
t' ti"ltili'
l)lt:li"rrl''llt':il;ltlitltl
iL'rl.lt,'r-: 1:X,lt,''rlL
:
1
'l
t'rt Botrks
'10()l) l\c'rtlcttttcl'tr';:)
I lillArfkerraitriil I \\rc-hcr: ''j\'lalhcrl:rtielrl\lriirrrtlslorl'lrlsicists'-(5"1:chti"rr
I)Lrlrlish''rsNc\ I)r:llli ']()0ll
(Nci"
Illlcttteiitrtlr:l
Agc
-.irlrm.:,ts
l)h\sici)ts"
l,,i
fhr'trr'}
rrt'(iritlp
. {,\\ -loshi .
-liiil
i \{ Ti'rklta'lt "( itortp 1-lli:orr ""tl (i'nnt''"" \1e chlrttte s-' if ;rt;i-McGril'r
)
Relerence books
!.
:
N4athenratical Physies by
A
(.ihatak
(\\'tr;lt! Scicntrtie
2. Grotrp theorv for Physicists h1'Wukitung
PI{Y
202
:
)
('o MPt'r[ER PROG RA]\l ]'I
Ntl }IURI(1,\t, TECIHNIQtIES'\ND
I
\ (;
(jonvctllt:tlee t'rilcriott' Orcjcr ol'coll\eltcl)cc
l. Roois crf transcendcntal equations Solutiirtt h\ iteration'
Ncrvion-Ri:plrsotllllcth()d.Bi.cctrt,n(halfilrteriel)rrlctlrrliJ16lrilrrrs)
ltort. lllloqloJilling polinurr:r'tls' l 'tgt:tt.ltlt' I:lIiri)(r]'tltrl'
I-cast
r'-tcrn tbtr-ard altd backlvartl diilcr cne c Iirt tllLrilrc'
(10 hours)
s
:
Trapezoitlal and Sirnpson's methods' No\\'ton
tial equations - E,ler's method, *,,.irtrT:,,1:.1,
variables, Data types, Type declaration of variables'
d decrement operatori, Conditional oPerator' Bitwise
oPerators and expressions, Assignment operators'
i2
statements' Forrnafled l/O'
,{rirhrncrical and assigrrmenl statements, Mathcnrelical functions, InpuLioutput
While' do
statements, Looping'
Relarional operators, Decrsion making and branchillg, Go to, if, if-..else, switch
Pointers(elementary ideas only)'
Structurcs,
voids,
and
Fttnctions
and
strings,
characters
Handting
Arrays,
and lbr,
(18 hours)
File operations(defining unJnp"ning, reading-lrriting, trpdating and closing oftrles
-fext : Balaguruswamy ( C ), Relevant scctions
'l'ext Books :
l. S.S.Shastry: "lntroductory methods of numerical analysis" (PrenticeHall olIndia,l983)
2. V.Rajaraman : "Computei programmi.,g in Fortran 77" (Prentice Hall of Jndia ,l 999)
.hrogramming in ANSI C" (Tata-McGrarv Hill, 1992)
3. E.Baiagumswamy :
Reference Books
l. V.Rajaraman : "Prograrnming in C"
,.Numerical methods-software and analysis" (McGraw Hill, 198])
Z. J.H.fiice :
I J B.Scarborough : "Numerical mathernatical analysis" (Oxford and IBH,6'" edition)
4 Hildebrand : "Numerical analysis"
:
PH)' 203 : STATISTICAL MECIIANICS
i
l he N'Iicrocanonical Ensenrble
l:rprt's;'rr i '
Iir.. ,rr,11r1i'111rj. rrntl ih..r1i,r,,sc,ri.i. .i,ri.. i ,lt:;.1 iri't*celt s1:tlisLies llrLi l-llr:rlltrtlrrtllttlici
(,iL)hs
.1.'.. '
i')l:rs,'
lill
il;r,l
j
tt)i.rLil-r:
Ui
rltiiopi
i
),.
i)iliiirini
ltc .;l.tr:r.:lj ld.ri 1,,.
.rltrl rr ill 131-115 111 !)
l'ixltlttr:lu i I
.:i:i:sierl sVStc',1)- [.i,tu.,illc'r llre-r;rc-ilr ali](l rii ilrr)iarlllollccs- l'llc nliel,'e:ttl,rl)iclli tnscnlblc(ii il'lursi
(.lassical Itleal gas. (2) I i,rcar ltarrrroriic orcjli"lt,r (-)ua:rLLrtt statcs atld ihc |hlls: space
I e tt : Patria, Sections l.l - 1.6' 2-l -2.6
.l.hc
rllij r llcal
Canonical Ensemble and the Grantl ('anonical Ensclnble - ErlLLr)rbrrum belwccn a system
2_
r.\cr'orr- phy,,;ic3) sigoilicarrcc r)i rlrc \ari\)ui slrtistical quantiti;s in tltc iano:tit:al ensemblc- "\ltcrnrtirc
(2) '\ systcrlr oI-ha'Illt'lli'!'\l!-cisions for the paiitiun 'lrilnctlt)l.l- Lxlttll;'it': I I ) I hc clrssical s)stcllls: ldcai gas'
ensemble. E'quipanrtion
oscillators, (3) The statistics of pararnagnoi:srn- linergy t'luctuations in tho canonical
Physical significance of
resen'oirparticle-energy
a
and
a
systcni
hci..,ecn
Equilibrium
flicorerr- Virial theorenr
ldeal gas, (2) A systenr
())Classicnl
:
Examples
r1-,e various sratistical quanriiics in the grand curouiciil ensemble(15 Hours)
ensenrble
grand
canonical
the
in
flucluations
rnci
eiergy'
t)ensity
of'larmonic oscillators-fext : Patria, Sections 3.1,3-3 - 3.9' 4.1, 4'-l - 4'5
matrix- S'tatlstlcs
3. F.ormulation of euantum Statistic-q : Quantunr-rrechantcal ensemble tltcoty ' The densit-v
)
ma
tl ol'inrlrstinguishab
n ide.rl qas in a quan
bles- Statistics ofthe
) Au clcctrern in a
A
c
trr
bc
molecrrles
A lincar
the parrition
ble- An idcal
, (-j)
composed
of
(15 llours)
mio, diatornic and polyatomio
'fext : Patria, Sections 5.1 - 5.5, 6.1 - 6.3' 6.5
of the blackbody
4. Ideal Bose Systems : Therrnodynamic behaviour of an ideal Bose gas- Thermodynamics
(6 Hours)
radiation- The field of sound waves.
Text : Patria, Sections 7.1 - 7.3
an ideal
5. Ideal Fermi Systems - ThermodlTramic behaviour of an ideal Fermi gas- Magnetic behaviour of
starswhite
d*arf
of
-Statistical
equilibrium
diamagrleti3m
(2)
Landau
Fermi Gas : (l) Pauli piaramagnetism,
(8 Hours)
Statistical model of the atom
Text : Pathria, Sections E.l,
Text Book : Patria
Reference books
1. Kerson
Huang
:
:
:
8.2, 8.4' 8.5
"statistical Mechanics" (Butterworth-Heinemann,l996X 2'd Edition )
"statisticat Mechanics" (second edition) (Wiley' I987)
2 B.K. Agarwal and Melvin Eisner :"Statistical
3 Guptha and Kumar : "Statistical Physics"
Physics"
l1
PII)'20.1 : Qlr.,tNl-tli\l l'IECHANICS I
siorls itnrj hasis'
operators' l:tgcrl
cs : \"cclor spaces
ectors and operators'
ation of bris' kets
ndamental posrulates
nciPle
l.
op
val
rep
Ob
and nlotnentun.t
tsition pnnciple'
(
13 hours)
Texts: Thankappan, Section s 2-l - 2-4, 3.1' 3'2
2.QuantumDvnamics: Theequationofmotion, Schrodinger,Heisenhergandthelntcractionpicturesoftinle
prctures' Hydrtrg-en atont
development, The linear hr.moni. oscillator in the Schroedinger and Heisenberg
(9 hours)
Texts
: Thankappan,
Sections 4.1.4-2
Momentum : Angular momeDtum operators, Matrix representation of angttlar nlomentum
of angular nronlcnta'
operators, Pauli ipin matrices, Orbital angular momentum, The hydrogen atom' Addition
3. Thcory of Arrgular
(16 hours)
Clebsh-Gordon coe fficients, Simple examples
Texts : Thankappan, Sections 5.1 - 5-5 A
of'linear
4. Symmetr.v ,rrd Conr".r,"tion Laws : Space-tirne symmetries, Spacc trarlslatiott and conservatron
nlolllentlllll,
angular
of
conservatiott
and
rotation
Space
energy,
of
morientum. iilne translation and conservation
anti symmetric rvavc
Space inversion and time reversal, Identical particles, Construction of slmlt)etric anil
rvave
Iitnctions for t\\o
Spin
and
Femlions.
Bosons
principle,
exclusion
lunctions. Slator determtnant. Pauli
(10 hours)
c,lecrrons. The lin)und state of Ile atom. Scattering of idenlical particles
9.-1
9.1
f erls : l-hankrppan, Scclions 6.1. 6.2.
5 Scar!eriog Sai!tlarinrl .t,'r. st.ction arrLl irJllerin!. rrnttriilrlrju I r,'r 1'1-'1''. i! rll!illl-' hr ;t '"Lltt'tl i)( ''llll;Ll
iiic tnciltOtl Lli Jrllrliltl',rlr',': l'illtse iirills- ()ftt.:lii th'-t'tuttr 1 t'rl\(l!r-rt ' 'i I I " i "r'- ';iJr' \''ii''i:
lr""
riglti sphc:'c- stillirllllq irt it s'1tl'lic lcli note'llrtrtl' lligl: ellri'li \!llllr:rlJl!' Sc'tLt":il'" llr1'rli'll c(iil'lllL'll 'lir'l
ill it$ttr'c)
iinl-,r()xrn)illt()11
'fext : Thankappan. Sectiorrs 7-l - 7.3
'!-rrtbooks:
\' K Tlrlrrkapparr "Q"rr;l:iitn: \'l'-t'ir:rnics" l\\'ilcl Fastcrn )
Reference books :
I N Zeilili, "Qualrtur.ll Mcciraurcs- ()onccpts anrl applications'(John M rler & Sorr'. 2()()'l)
2 I- I Schiff ''Quantum Mechanics" (McGraw ttill)
I.
3 pMMathovsandK.Venkaleror.",.\Tc-xtbookofQuantumMechanics"(1'atrNlc(irlu
4 A lr'lessiah : ''Quantum Mechanics"
5 l..l Sakurai : '-N'fodern ()uarrtum i\'lechanics" (Addison \\'csler')
6 Srcphen (lasiororvics . "Qrriintrtnr Phl'sics"
; A Ghatak rrrtl S [.okanathln : "(]uanturn N'lcclranics" (N4acrnillarr ]
8. \' I)eranathan : "Qualltunl Mcchirltios " (Narosa,2(){l-5)
tlill)
\
l4
PHY 205 ( Practicals
llI
- CENERAI, PHYSICS
II)
: l. All the cxpcriments should involve error analysis. Internal evaluation to be done in the respectivc
semesters and marks to be intimated to thc controllcr at the end of each semester itself. Practical
observation book to be subrnitted to the examiners at the time of viva voce in each semester. ()ne mark is to
be deducted from internal marks for each experiment not done by the student if a total of E experiments
are not done in each semester.
2. The PHOENIX Experimental Kit developed at the Inter Uni'r,ersify Accelerator Centre, New Delhi, may
be used for the experiments wherever possible.
Note
(.4t Ieast 8 experiments should be done)
of an oscillator - 'Io construct an oscillator and detcrmine fiequency
I Determiuation
lrequency bridge.
of
2, Susceptibility
measurement by Quincke's and Guoy's methods
trequency
using
- Paramagrctic susceptibility of salt and
specrmen
3
:,
r,
Cauchy's constants Liquid prisnt (dill'erent ooncentratlons)
Nticlrelsorr's inttt ierutrtttet - (a) 7' and (b) di and (hickncss o1'nrica sheet
I;ahrr I)r'rr1 Elrlr)1) i, lrnrl thiekttc:s Lri rrir lllrri
! 11r,11r,1qr,1 r,1 1;.,rr:
'r- ,.,r11,,,rr' 1l r,';,;,;;,,11 rl il - iti, lr', .:ittL1,.i:t1
lr,l
r,
,
iernperatrrre r)1 sodtrrll
-1
iltj illatii:r:l- it:tl.r, :1r;rr' i l''
cJgc ir\ }r'\\ ll)il ' i ilrl\
ilil)tr - '] c, rl.lcrorlno lllc tcurpir'Jturc oI
Ihc' strJiunt
lllrnrt bi'
eolnpat:is'-)l.l
\\ltiL .rll
rncandcscetrt Iamp tt-stnI x jPcclIonlcler
S Single phlrsc tr;rnslirr|t.r , \'1(-asrlreltt'nt
ol l-. R ;rnd ,1 rli thi' prlln0rv lr:ld s.'condary and dete rnlinatltlti o'l
ilcicrtcv
it SintP)e Ir{ictorrlt.,'c.\pajlltcnls -'l'o,1,:tellrtinc siiitrititr.t wa\e rl1llos. !uidr'l:ltl ticc spacr-',ralclctlgths\ S\\'R, .lielcetric u()r)rIJttI ti:)d rlt.llt]rtiorl
el
l0 Ditlracljopatastraightcdge --l'odetcrminethervavelcugthofSodiurnlinesfromthediffractiorrpatterntiotn
:i straight edge
! I Elcmentary experiments usin-{ l-aser
I \Vavelength delertntnalion trsing erlrtine
2 lnterrsitv drstribttlion
I Dia:ncter of it lhitt u tle
4 I)iffi-actrc:r at a slit - dclcnniuetion oislit rvidth
J J .\nderson's Brrtlgc !)tti-rminnrron rrf relativc susccplihilrt.''
:
Reference books
I BL WorsnopandHl- Flint-AdvancedPractical Physicsfbrstudents-Nlcthusen&Co(1950)
2 E V. Smith -Manual of experiments in applied Physics - Butterworth (1970)
3 R.A Dunlap - Experimental Physics - Modern rnethods - Oxford University Press (1988)
4 D. Matacara (ed) - Methods of experimental Physics - series of volumes - Acadelr)ic Press In-c (1988)
5 S p Singh-Adrianced Practical Piysics -Vol I & ll-Pragati Prakasan, Meerut (2003)- 136 Edition
PHY 206 (Practicals IV - Electronics
II)
Note : Internal evaluation to be done in the respective semesters and marks to be intimated to the controller
at the end of each semester itself. Practical observation book to be submitted to the examiners at the time
of viva voce in each semester. One mark is to be il6ducted from internat marks for each experiment Dot
done by the student if a total of 8 experiments are not done in each semester.
I. Use of IC 741 - Determination of input offset voltage, current, CMRR, slew rate, and use as Inverting and noninverting amplifier and difference amplifier, summing amplifier and
comparator
Z lC
555 Timer - Astable and Monostable and Bistable multi vibrators, VCO missing Pulse detector and
SaMooth generator.
3. IF amplifier (Two stage) (Gain and fiequency response, bandwidth)
l-s
13rnary-addcrs-HAandFA usin-s
4
5
lll. X()R l(' & t'srrrg N,\N[)Gales (\'enl-r lnrtlr t:rhlcs)
Mrcropnrcc.ssors erperitttents (sirnple cxpcritueutrl
Atldition. suhtraction, division and rnulliplication - ti hit usirrg Ii085
Schmidt trigger using transistors and OPAMPS - l'racc hvslercsis curve . dcternrirte
I.'il'
and
UTI'
6 CrystalOscillator(Fordifferentfrequencies&evaluationol-lrequcncystability;
T.AnalogintegrationanddiffcrentiationusingOPAN4PS(studytheintegrator characteristics&differentiator)
Analog computation using OPAMPS (LM324) - [)ilferential equations / Simultaneous equations
Second order Low pass, High Pass and Band Pass filters using OPAMP ( studl'the fiequency response )
10. Negative resistance oscillator. (for different frequcncies)
I I Bootstrap Amplifier (frequency response, input & oulput resistance )
12. Organize M X N random access memory with ba.sic rnemory unit (Verify the READ and WRITE operations)
tl
9
Reference Books :
l. Paul B Zhar and A.P. Malvino - Basic Electronics - A Text Book Manual - JMH publishing ( 1983)
2. A.P. Malvino - Basic Electronics - A text lab manual - Tala Mccraw Hill (l992)
3 R.BogartandJ Brown-Experimentsforelectronicdericesandcircuits-Merrill International series(198-()
4. Buchla - Digital Experinlents - Menill lnternatioual series ( I 984)
5. S.P. Singh --Pragati Advanced Practical Physics \/ol I & Il - Pragati Prakasarr Mcerut (2001) - l3'h Etliti,.,n
l6
SEMESTER
PII\' -l0l : NUCLEAR
III
PHYSICS
l. Nuclear Decay : Beta decav - introduction, Energy release in beta decay, Fermi theory of beta decay, FermiKurie plot, Ir{ass of the neutrino, Comparative half-life, Allowed and forbidden transitions, Selection rules, Parity
violation in beta decay, Neutrino Physics. Gamma decay - Energetics, Multipole moments, transitions and
radiations - Classical and Quantum mechanical aspects, Decay rate formula, Measurement of garnma energy,
Lifetimes, Selection rules, Aagular correlation and I-ntemal conversion,
(15 hours)
Text : K.S.Krane : "Introductory Nuclear Physics. (Wiley), Sections 9,9.1 -9.6,9.9, l0.l - 10.6
2. Nuclear Forces : General characteristics of nuclear forces, The Deuteron - binding energy, Spin, Parity,
electromagnetic moments, Simple theory of the deuteron structure, Spin dependence, Tensor force, and twouucleon scattering experimental data, Scattering cross sections, Low energy n-p scaftering, Partial waves, Phase
shift, Singlet and triplet potentials, scaftering length and its sign, Effective range theory, low energy p-p
only).
(I2 hours)
Text : l.ICS.Krene :"lntroductoryNuclearPhysics,(Wiley),Sections 4.4,4.1 -4.3,4.5
2. R.R. Roy rnd B.P. Nigam : "Nuclear Physics- Theory and Experiment", (Wiley Eastern)
scattcrints, Exchange forces and Yukawa theory (Qualitative
Sections 3.2,7.4
-1.
- -1.9,3.12
Nuclcar Nlodels
:
Shell nrotlcl. Sinelc plniclc polentials. Spirr-orbit couplrnr. Sinqlc particlc nrodrls. Spins
lslr:ptli .',t'tlttittri Siltglt Il:t'l.iciJ !ri)tli ii lr (lisl,)l'l,id $cii. ( ullcetnc Irt()tii)i- !t!(il-.'\.,1) ltir,:iei, li0tltir,lai llild
r ihrationul statts
l-crt : l. K.S.Krane : "lntroducton, Nuclear
(lll
hourr^)
Phvsics', (W'iley), Sections 5.1,5.2
2. R.R. Roy and B.P. Nigam : "Nuclear Physics- Theory and Erperiment". (Wiley Eastern)
Sections 7.1 - 7.6,7.8, E.l - 8.3
4. rr..uclear reactions, Fission and Fusion : lntroduction, Conservation laws. Rcacrion kinematics, Q ralucs.
Llross scctiotrs. Experimental stud)es. Couiornb cxcrtarion. Compound nucleus rcactions, Fission process,
Charactcristics, Energy released, Ncutrons released in fission, Cross sections, Fission reactors operating with
natural Uranir.rm as fuel, Fusion and thermonuclear energv
(I3 hours)
Text : K.S.Krane : "fntroductory Nuclear Physics" (Wiley), Scctions ll.7,ll-2,l!.4 - 11.6, ll.l0,
t3.l - 13.3, 13.6, l4.l - 143
5. Nuclear Radiation Detectors and Nuclear Electronics : Interactions of radiations with matter, Gas detectors
- Ionization chamber - currenl and pulse mode (Qualitative only), gas multiplication, Proportional counter and Ci
M counter - Geiger discharge, Quenching, Scintillation detector - basic principle, photornultiplier tube and
coupling, Semiconductor detectors requirements, working, partially and totally depleted der.ectors, difhrsed
junction Cetector, Ge(Li), Si(Li) and surface barrier detectors, Qualitative treatment of Preamplifiers, Amplitiers,
Single channel analyzers and Multichannel analyzers.
(10 hours)
Text : K.S.Krane : "Introductory Nuclear Physics" (Wiley), Sections 7.1 -7.4
Referencc books for detectors :
l. S.S.Kapoor and V.S.Ramamurthy : "Nuclear Radiation Detectors' (Wiley Eastern, l9E6)
2. W.R. Leo : Techniques for Nuclear and Particle Physics (Narosa)
Other Reference Books
:
. S.B.Patel : "Ar Intro'duction to Nuclear Physics" (New Age lntemational Publishers)
2. Samuel S.M.Wong : "Introductory Nuclear Physics" (Prentice Hall,India)
3. B.L.Cohen : "Concepts of Nuclear Physics" (Tata McGraw Hill)
4. I.Kaplan : "NuclearPhysics" (Addison Wesley, 1962)
I
PHY 302
:
SOLID STATE PHYSICS
1. Crystel Stnrcture and binding: Symmetry elements of a crystal, Tlpes of space lattices, Miller indices,
Diamond structure, NaCl stmcture, BCC, FCC, HCP structures with examples, Description of X-Ray difFaction
using reciprocal lattice, Brillouin zones, Van der Waals interaction, The Lennard-Jones potential, Cohesive euergy
of inert gas crystals, Madclung iuteraction, Cohesive energy of ionic crystals, Covalent bonding, Metallic boriding,
Hvdrogen-bonded crystals
(12 hours)
l1
2. l,attice Vibrations: Vibratrorrs ol monattrntrc antl dratonric lalllcr:s. (Juantr./alr()r) ol'lattrcc rtbtaltorts. lrtellstic
scallcnng of neutrons, l'-instcin and I)cbyc rnotlels trl'spccilic heat, I'hcrrnirl con(luctivlly, Ellicl ol' Illllcilr'!ll()ll
(ll hours)
.1. t lectron States and scmiconductors: frrcc clectron gas rn thrcc dimcnsrons. Specific hcal o1' rttclals.
Sontmerfeld theory of electrical conductivity, Wiedenrann-Franz lau,, Hall effect, Nearly free eleclron lttotlcl and
lirrmation of energy hands. Bloch functions, Formation of energy gap al Brillouin zonc boundaries, Nunrhct ol
orbitals in a band, Equation olnrotion ofelectrons in energy bands, Propcrties ofholes, []ffective mass ofcarri('rs,
lntrinsic carrier concentration, Hydrogenic rnodel of donor and acceptor states, Interband optical ahsorption.
(15 hours)
Frenkel excitons and Wannier excitons
4. Dielectric and magnetic properties: Macroscopic dielectric lreld in a dielectnc, Depolarization field, I-ocal
electric field at an atom, Dielectric constant and polarizability, Order-disorder type ferroelectrics, Displacive tlpc
ferroelectrics, l.andau theory of ferroelectric phase transitions , Exchange interaction and Curie-Werss law.
Spontaneous polarization, Ferromagnetic magnons (one dimension), Magnon specific heat, Ferrimagnetrsm in
(13 hours)
Fe2O1, Antiferromagnetism in MnO, Neel temperature and susceptibility
S.Superconductivity : Meissner effect, Type I and Type II superconductors, Heat capacity, Microu'ave
absorptiou, Energy gap, Isotope effect, Free energy of superconductor in nragnetic field and the stabilrzation
energy, London equation and penetration ofmagnetic field, Cooper pairs and the B C S ground state (qualitative),
Derivation of the London equation from the ground state rvave function. Flux quantization, Critical fields and the
vortex state, Single particle tunneling, DC and AC Josephson effects. High T. superconductors (Qualitative
(12 hours)
description of the cuprates)
Tcxtbooks :
I (' Kittel : "lntroductiorr to SoliLl Statc Phvsrcs" (5'!' l](l ) t\\'ilcv llasr.:rrri
.l \ I [)ckkcr:"Solid S!,rt('l)l]\sit.s" (\l,rcrnrll.rrr i";\t
I \ \d r\shcroft iutd Met ;ntn SL'lttl Stlte l'llvstc. . !irt'rrks l'rric t i'j :trr
-l L-llemcnts olsolid Statc Physrcs. Srirastara I I'. l'rcnLico llalloi Irr,ir:r {- 'l;Liilrirri
5 Zirrran I.I{. : "Principles of thc Tlreory,of Soliils'' tL-ar:rhritlge. 196'-l)
PH'|'303: QUANTUNI MECIIANICS II
l. Approximation mcthods for time-indcpcndenf
problems
WKB approximation, connection fonnulae, barrier tunnelling. application to decay - Bound states.
Penetration of a potential barrier, the variation n)ethod for bound states, the Erround statc for He-atom. Time-
Ihe
independent perturbation theory, Non-degenerate and degenerate cases. Anharmonic oscillator stark and Zeematt
(16 hours)
elfects in hydrogen.
Texts : Thankappan, ScctionsS.l, 8.-j
2. Variational method : The variational equafion, lFound state and excrted states, application to ground statc of
( 6 hours)
the hydrogen and Helium atoms
Terts: Thankappan, Sections 8.2
-1. Time dependent perturbation theor), : l-ransitron probabrlity, Llarnronic perturbation, Interaction ol'an atott.t
ivith the electromagnetic field. Induced cmissiorr and absorption. The dipolc approxirnation.'l'hc
approximation and scaftering
Texts: Thankappan,
amplitude
Born
(12 Hours)
Sections 8.4
4. Relativistic Quantum Mechanics
:
The Dirac equation, Dirac matrices, Solution of the free-particle Dirac
equation, The Dirac equation with potentials, Equation of continuity, Spin of the electron, Non-realistic limit. spinorbit coupling, Covariance of the Diraq equation, Bilinear covariants, Hole theory. The Weyl equation for the
neutrino, Non-conservation of parity, The Klein Gordon eq-uation, Charge and current densities, The Klein-Gordon
equation with poteirtials, Wave equation for the photon,' Charge conjugation for the Dirac. Weyl and Klein (16 hours)
Gordon equation.
Text : Relevent sections of Schiff and Bjorken and Drell (Relativistic Quantum Mechanics)
5. Quantization of fields : The principles of canonical quantization of fields, Lagrangian densily and Hamiltonian
(10 hours)
density, Second quantization ofthe Schrodinger wave field for bosons and fermions.
Text : Releveni sections of Schiff and Bjorken and Drell (Relativistic Quantum Fields)
Tertbooks :
l. V.K. Thankappan: 'rQuantum Mechanics" (Wiley Eastern)
2 J.D. Bjorken and D. Drell: "Ralativistic Quantum Mechanics" ( McGraw Hill (1998)
\
l8
D Bjorken and I) Drell :"Ralativistic Quantum Fields" (Mc(iraw Hill 1998)
lteference books :
I L.l Schiff : Quantunr Mcchanics" (McGraw IIill)
2, J J. Sakurai : "Advanced Quantum Mechanics " (Addison Wesley)
3 P M Mathews and K Venkatesan : " A Text Book of Quantum Mechanics" (Tata McGraw Hill)
4 N Zettili,: "Quantunr Mechanics - Concepts and applications' (John Wiley & Sons, 2004)
,1. J
5
Stephen Gasiorowicz
:
"Quantum Physics"
PHY3O4 : ELEMENTARY PARTICLE PHYSICS &ASTROPHYSICS
l.Classification of particle.s & Meson resonance Four basic forces - gravitational, electromagnetic, rveak and
strong - relative strengths, Classification of particles. Yukawa's proposal, l}e muon, The real pion, Isotopic
spin, Extremely short lived particles, Resonances (Qda J and mesonic resonances) - detecting methods and
expenments
Text: Neeman &Kirsh, Ch-6; Ch.tScctions I -3, Coughlan&Dodd,ChaptersT,
(l
I
Hours)
g
2.Symmetry and Conservation laws: Conservation of angularmomentum, electric charges, Baryon and lepton
numbers, Conservation of strangeness, Conservation of isospin and its component , Conservation of parity,
charge conjugation. cP violation, time reversal and cPT theorem
(I0 Hours)
I'ext : Neeman & Kirsh, Ch. 7; Grifliths Chapter 4 sections 6 - 9
-t
I 5-\'n)nretr] and <1u:rrks: Interrral s),Tlrnletr),. 'l'hc Slrk:rr:r rnodrl. SIr tr r hc eiqht ibtd r-rar. (ic-llrrrann ant]
()kubo mass ibrnrt:la. t-)uarks and quark mode I ('ontine'tj qrrarks. [:rpr'r-rnlenta] evidencc, ( olorrretl quarks
( t hours)
'l-ext : Necman & Kirsh Ch. 9, Sec l-7; Grifliths Ch. l, Scc 7-l l;
Coughlan & Dodd Ch. 10.
4.Stellar magnitude se(luence, Absolute magninrde and distance modulus, Colour index of a star, Luminosrties
trl stars, Stellar parallax and Lrnits of stellar distance Spectlal classification of'stars, Boltzmann's tbrmula, Saha's
equation of thermal ionization. Harward svstem olclassificatiorr, Luminositv eff'ect of stellar spectra, Importance
of ionization theory-, Spectroscopic parallax - Hertzspmng - Russel diagram Binary and Multiple Stars: \risual,
spectroscopic and eclipsing binary systems - Multiple stars- origin of binary stars - Stellar masses and MassLuminosity relation- Mass transfer in close binary'systems
(16 hours)
Text : Basu Sections 3.1,3.2,3.6 -3.E,4.14.8, 7.1-7.E
S.StructLre and evolution of stars, Observational basis, Equation L)f state for stellar interior, Mechanical,and
thermal equilibnum in stars, Energy transport in stellar interic,r, Energy generation in stars (thermonuclear
reactions), Stellar evolution, White dwarfs Neutron siars and black holcs: Rotating Neutron star model olPulsars
Period distributionn and loss of rotational energl -- GolC's model of pulsars -- Distance and distribution of
pulsars -- Brnary pulsars Black holes
(14 hours)
'Iext : Basu Sections Ch. 14, l5
Text Books:
l.
Yuval Neeman and Yoram Kirsh: - "The particle hunters" , 2nd Edition (Cambridge University Press,l996)
David Griffrths, "Introduction to elementa4iparticles" John Wiley & Sons.(1987)
3. G.D.Couoghlan, J.E.Dodd. & Ben M.'Gripaios, "The ideas of particle physics - an introduction for scientists",
(2nd Edition I 991) or (3' Edition 2006)(Cambridge University Press)
4. Baidyanath Basu M : "An introduction to Astrophysics" (Prentice Hall of India).
2.
;
a
l9
sl..l\lES'l'ER l\
PII\'
401 : SPECTROSC-OPY
ot a l)t)n
Spcctnrttl
L Microwave Spectroscopv: Litroduction. Brcakdorvn olOppenheinler apprortllratton.'fhc lnstnttrreutatiort
tbr
ol'(lHrCl
Examplc
'
molecule'
top
a
synmetric
of
Spectmm
of
ii.
rigid rotator, Example
(ll)
hours)
spectra
rotational
Microwave Spectroscopy- lnlormation derived from
Text : Relevant sections of Ban*'ell and McCash and Barrow
ic molecule (Morse C--une). lR
Rolation SPcctra of dialom:c
-
down of Borrl-OPPenheirner
Inliared SpectroscoPY, Fouricr
(12 hours)
transform IR spectroscopy
Text : Relevant sections of Aruldas, Banwell
top molecules, Example of
3. Raman Spectroscopy : lntroduction, Rotational Raman Spectrum of SlTnnretric
Combined rrsc of Raman
CHCtr, Vibrational Raman Spectrum of a Symmetric top moleiule, Exanrple of CHClr,
lbr Raman
Instmmentatirtrt
NO;'
and
CO2
ol
Exarnples
detlrmination,
and Infrared Spectroscopy in structure
Rari-ran
Stinlulared
Ilflecl'
Ranran
FIWcr
Spectroscopy, I-aser Ron,an Spcctroscop-r', Ntln liltear R;rman effects'
(12 hours)
effect
effect and inverse Raman
l*'alker
Text: Relevant sections of Aruldas, Banwell & McCash and Straughan &
(I977)
Hill
Mc
Grai+
D
A
by
Long
spectroscopy
,
:
Raman
Book for reference
Vjbrational analYsis
4, Electronic Spectroscop5 olmolecules : Vibratronal )oarse structure of clectrortic spcctra.
Vibrational arlllll.sls'
lrorrl
procrcsii()ns
In1-ornratir,n
setlrrcr.rccs.
;rrrrl
tahlc.
I)cslirndr,r's
hand
svstcnrs.
.f
.dcrrved
I
i :":';"
iixltnlll,,'ol itrtlltli rl.t,rlcetl]l
as!i
feri: Rclevant scctions oi.4.ruldas. ilanxcil & i\lt(
i ci'l n{rIlllililr'll'
5. Spin Res'nance Spectroscup]. . Intcr.rerir)ir bclrvccu rrrrelctu s;ritr Llll(i li.llllrllillj llc'ld.
ir:t,.:rg1.
r
,l1r(l:lllrl-lrjillt('
Larrrrour precessior. Res,.rance conJition. 13loch equations. Relrxalion tLr:ics. SPirl-SPitl
cr-lrrrr'l
tlrtion fbr Ni\{R spcctroscopl'' C'fr'NN1lt and F'lNfut
relaxation. Thc ('hcnrical
rrnii
lg
lll.:ctron-N
I-'ine
s1t-uctt:r.:llanrilionian.
I'r)lal
rrrn.
Sp,n Spcct ns"rrpv o.i- rh
Lltllrr'
j:ill()r'Scr'li'o
il
()Ssbariel
Rest'rttattct
SPCCIToSCOPY :
hyp.-rfine Structtttt'. it.SR
i'e5l'
Flfflct, Chcrnical shilt. Eltcct of nr;t.'r:ttcttc lieltl
emission of i - rays
Experimental techniques
Text : For ESR & NI,IR : Relevant sections oI Aruldas, Banwell
lVlossbauer Efl'ect : Aruldas and G.K. Wertheim
Text book
:
& )IcCash and Straughan & \Yalker: l'or
I Molecular struclure a,rrl Spccrroscopy -- (i Aruldas I'rcr.rtice 1{all oi India (1001)
-l'a1a
Nlc(iroll Hili (lq9'i)
2 C N.Banr,,eli and li Iv{ lu,lc(lash. "l,und,rnrcnta)s,r1-Molccular Spectroscopy".
(iunther
(r\cadctlric
I'tcrss)
wertheirD
K
applicatiotrs,
and
Priuciples
.
uftcct
-l Mossbauer
and Walkcr 1l:ds) Spectroscopv Vol I antl ll, Clrapuran and Ilali
4 Straughan
-Banorr .
lntrodtrction to molecular Spectroscopv lv,[cGralv Iiill
5. G M
Reference Book:
Raman spectroscopy by Long D.A.' Mc Grarv
Hill (1977)
\
20
Et.Ftc l tvEs
N()l-E : A centre shall offer more than one paper frorn each of the three clusters ELECTIVE, l, II and
[Ion'ever, each student shall choose ONE elective paper only from each of the three clusters,
IlI.
EI,ECTIVE I
PT{\'402
l.
A ADVANCT]D ELECTRONICS
Microprocessor, Nlicrocomputer and Assembll,Language: What is a microprocessor?, Evolution of
microprooessors - 4-8-16-32 bits, Organization of microcomputers, microprocessor programming, Organization of
the 8085, instruction set, Assembler Programming, Langrrage for writing algorithms, TheZllogZS0
hours)
Text book : "lntroduction to Microprocessors"
t.7, 3.t - 3.6J
.8
(ll
- 3'" Ed., A.P. Mathur
(Tata-McGraw Hill). Sections l-3
2. Examples of Assemblv Language Programming: Additron, Subtraction of two 8
-
bit& l6 birnumbers, One's
conrpliment, Two's compUment, Shifting of 8 bit & l6 bit numbers, Square from Lookup table, Largest and
Snrallest irt a data array, Series o[ numbers in ascending and descending order. Sum of a series of 8 bit & I 6 bit
nut.trbers, 8 bit multiplication and division,Multi bye addition and subtraction, Square root of a number.(10 hours)
I-cxt book : Fundantentals of Microprocessors and l\'ticro computers"- 3'd / Recent Edn., B. Ranr,
l)hanapati Rai & Sons, Scctions 6.3 - 6.36
.1 \lil'rupruct'srii;- tr'i:rlittgs, !nE+r!:icing Ill'rsct 1 :ir:(l i'(] Flt'ricr.r : j rlrt jnL 11n(l i r)titrrrl rrrrit i iprrrrcs ri ir,.t,'i
"1r).: I illltllL ()l /'\1r jiJ!lsial i)ilitlllT.itlL,il- "ri.j:.... .Irf,. ! J1.ltf;lr,,lir r-t. \jailtot) tLttuti,r!rnt-i. !)rtlr irurr:irr
>,'iie tllt's, I)togtallttltetl l)irLt ilan:iIit- l)rrr'ct \1r'ilr,ri. \tci':;r l)atil [Iirnstei-, Scirlrl dara irililslcr
(i-] hoursi
l'er(: "lntroduc(ir)n lo i\Iicroprocessors" -lrd L.rl.. \.1'. l\lathur- (1-aia-l\lcCraw Hill). ()haptrrs 5.1 - 5.5,
6.1 - 6.7
1. Peripheral l)ericcs and lnteriacing: Cierrenttiorr rrt eontrol sipnals lbr ntcrnon and L/O cieviccs. 1,,U l)r-1r:rirrt.'l Elll. 815i. ['tug[r;nntilblc pcnphcral rnl:-rlucc-8]5-{ I'l.rgrarnrnablc I)l\{-\ cttntroller 8257. PrtigrzrntLrrablclttLctlllpl (lontrollcr R259, l)rog,-arlntable cotttr;tunicalron irrt.:rijicc-82 j l. Pr,tgritr.lrmable intcrval tirr)cr cotmtr-i8253 Special Purpose devices: The 82'19 Programmablc Keyboard/Displav intertace
l: Fundamentals of Microprocessors and Micro computers"- 3'd
Dhanapati Rai & Sons. Sections 1-6 - 1-ll.
Text Book
Text Book II:."Microprocessors
-
/
(14 hours)
B. Ram,
Recent Edn.,
Architecture, Programming and Applications with E085/E0E58A",
R.S.Gaonkar(Wiley Eastern) Section 14.3
5.Applications of Microprocessors: Microp[ocessor based data acquisition system: Analog to Digital cor)verrer,
Clock for A/D conversion. Sample and Hold circuit, Analog rnultiplexer, ADC 0800, Digital to Analog Converter,
I)AC 0800, Realization olA/D Convertel usirrll D/A Converter Delay subroutine, T segfnent LED display, FND
-50(r'50-1. 507/5 10, L4AN 74 A , MAN 72, decoders/dri','ers-7448, Intert-acing of 7 segment display, Display ot
decimal and alphanttnreric characters, Measurement of frequency, Voltage, Current, Resistance, Temperahrre
nleasurement and control, Generation ofsquare wavc or pulse using microprocessor
(14 hours)
'fext:Fundamentats of Microprocessors and Micro comput€rs - 3'd / Recent Edn., B. Ram, Dhanapati Rai &
Sons. Sections E.l - 8.13, 9.2 - 9.3, 9.5 - 9.6.1, 9.9
Reference Books:
l."Microprocessors and programmed logic", 2nd Edn., Kenneth L. Short ( Prentice Hall India).
2."Digital System from Gatesto Microprocessors", 2nd Edn., S.K. Bose ( Wiley Eastern)
3." Microprocessors and Microcomputer system design", M. Rafiquazzaman (IJniversal Book Stalt , New Delhi).
4."Microprocessor (8085) and its applications"- [ Edn.-A.Nagoor Kani (RBA Publications)
PHY 402 B : ADVANCED NUCLEARPHYSICS
1. Nuclear Shell
Model: Shell structure and magic
:
numbers, The nuclear one particle potential, spin-orbit term,
realistic one body potentials, Nuclear volume parameter, single particle spectra of closed shell t I nuclei,
Harmonic oscillator and infinite square well potentials in 3- dimensions, coupling of spin and orbital angular
momenturt, magnetic dipole moment and electric quadrupole moment, Schmidt diagram; Single particle orbitals
in deformed nuclei, perturbation treatment, asymptotic wave functions, single particle orbitals in an axially
symmetric modified oscillator potential
(15 Hours)
Text : "Shapes and Shells in Nuclear Structure", S.G. Nilsson and I. Ragnarsson, Sections Chapter 5, 6, 7,
8.r - 8.6
)l
iltttl rvare luncli()l1s llr cvctt2. Nuclear collective modcls: Nuclear rolational mrttion- rotational energy sp(jctrttttl
Bands - The parlicle rotor
Rotatiollal
excitations,
vibrational
collective
momentsNuclear
even and odtl A nuclci
trvo paflicle.-excttations
rotational
bands
model, strong coupling- deformation alignment, Dccoupled
.alignmcnt:
(10 Hours)
oscillator
hamlonic
Rotating
model;
cranking
the
rotationnuclear
I;as1
and back- bending:
(Wiley Eastern) Sections
Text: l. "Nuclear Physics-Theory and Experiment', R.R. Roy and B'P' Niganr
E.l - E.5
S.G'Nilssonandl-Ragnarsson'scctions:ll'll'l-ll'3'12'
2...shapesandshellsinNuclearStructure",
12.1,12.2
formula for I = 0, Compound
3. Nuclear Reactions: Reactions and Cross-sections, Resonances, Breit-wigner
ion reactions
Heavy
probability,
Nucleus formation, continuum theory, statistical theory, evaporation
-(l0.Hours)
(WileyEastern)Sections6'l'
Text:"NuclearPhysics-ltteotyandExperimenf',
6-2,6.4
-
n.n.RoyandB'P'Nigam
6.8
2.KennethKrane-.IntroductoryNuctearPhysics'',(wiley)'Sectionll.l3
4. Nuclear Fission: ff,. r.-i"-pi.i.d m"r, formula ,' f," .t"Uitity peninsula,
nuclear fission and the liquid drop
spontaneous fission' Mass
cross-section,
Fission.Nuclear
barrier
fission
phano-.nu,
fission
model, some basic
(12 Hours)
I of Fission
i.;g;;;'Ctatistical
attribution
"f
""a
: ..Nuclear PhysicsText"*rgv
chapter 5 full
ft
"ory
mode
and Experiment", R.R. Roy and B.P' Nigam (Wiley Eastern) Sections
gth' Energy loss in elastic
an. its validity,
validitv' Dt
D'
'< law and
5. Reactor Physics: Fick's
p...i
age equation- solutions an
""fiis"",-r.ir,r"rgv,
finite thermal reactor, c
,.giJn
nn.
criticalify,
reactors,
Text Book : "Introduciioi to Nuclear Reactor Theor
5.7. 5.r
l.
6.1. 6.1. 6,9
Relerent'e Books
6.14. 9.
-
t
-
age theory
of
geometries
on- Wcslet)
bare thermal
( 12 Hours)
Sections 5'l -
g.tl
.
l."lntroductoryr-ttclcarI'hysics".Siurucl N'1. \\'onu (Prentic:cllall India l')')())(-llaptcr7)(20()l)
2...Nuclearph,vsics.Expcrirnental andthcoreticalt tI.S. IIans,Ner',Ageltrtcrnati'ina!
Ltd)
3. "Theory of nuclea. stmcture" - M-K Pal' (East Wcst Press Pvt
PHY 402
C: PI,ASMA PHYSI(]S
sics : Existence of plasrna,Definrtion of Plasnta, Debye shrelding lD-ald
of plasma phlsics iin Uri.i). Single Particle tnotions -Llniforrn E & B fields. Notr
(13 hours)
field, Time varying F- field, Adiabatic invariants and applications
3D'
Text : Chen, Sections l.l 1o1.7.7,2.1 to 2.E'3
Maxu'cll's equatrolrs'
2. plasma as Fluids and waves in plasrr,as : Inrroduction -The set of fluid equations,
paralle
drifts
B,
Fluid
to
Fluid drifts perpendicular
Grou;> velocitv, Phase velocity, Plasma oscillations
of Plasma approximations. Comparisotr oi ion and.
'[h
B, Electrostaiic ion wavcs perpendicular to B,
para
waves
Electromaglrctic
Cutoffs and Resonances,
waves, Magnetosonic waves, The CMA diagrams
Text : Chen, Sections 3.1 to 3.6, 4-l to 4.21
of p, Diffusion of magnetic field into
3. Equilibrium and stability: Hydro magnetic.equilibrium, The concept
instability, Resistive drift waves' the
gravitational
tire
initability,
,"r"oplasma, Classi{ication orll1rrlu-ifiii,,r*o
'v*""J' -"-:--
(lghours)
weibclinstability
Text : Chen, Sections 6.1 to 6'8
Derivation of tlie fluid equations'
i. iiirin.'t[a,.y-'; ih" ;;;^g of f(v), Equatioris of kinetic theory,
Physical derivation of
damping,
Landau
of
th"
meaning
damping,
[andau
Plasma oscillations and
(10^Landau
hours)
field
damping, Ion landau damping, Kinetic effects in a magnJtic
Text : Chen, Sections
7
.l
to 7 -6.2
The problem of contolled
i"uting, Fusion
Plasma
Fusion,
laser
Toruses, Mirrors, Pinches,
Text : Chen, Sections 9.1 to 9.8
5. Introduction to Controlled Fusion
:
fusion, Magretic
Technology
confinements such as
(10 hours)
Volume I and II' Plenum Press'
Text Book : .F. F. Chen, Introduction to Plasma Physics and Controlled Fusion,
recent edition.
22
Reference Books :
I J D. Jackson, Class'ical Elcctrodynamics, \,\rilcy t'iastem, 1978
2 D R. Nicholson, Introduction to Plasma Theory
i N A Krall andA. W Trivelpiece, Principles of Plasma Physics, McGrarv-Hill. recentedition.
PHY 4O2D - ADVANCED ASTROPHYSICS
l. Radiative Process: Theory of Black Body Radiation-Photoelectric Effect-Pressure of Radiation -Absorption and
Emission spectra - Doppler Effect - Zeeman Effect- Bremsstrahlung - Synchrotron Radiation - Scattering of
(t Hours)
Radiation - Compton Effect - and Inverse Compton effect
Text : Baidyanath Basu, Ch 2
2 Variable stars: Classification of Variable stars -- Cepheid variables - RV Tauri variables - Mira variables - Red
Irregular and Semi-regular variables - Beta Canis Majoris Variables-U Geminorum and Flare stars-Theory of
(8 hours)
Variable stars.
Text : Baidyanath Basu, Ch E
3. Galaxies: The Milltfway galaxy - Kinematics of the Milkyway - Morphology - Galactic Centre Morphological classification of galaxies - Effects of environment - Galaxy luminosity function - The local group
- Strrface photometry of galaxics - ellipticals and disk qalaxies - Globular cluster systems - Abnormal galaxies(20 Hours)
Active galactic nuclei.
l'cxt : Binncl' & llterrilield. ('h 4
-i (ierrer-irl l{clativrtr: (irr:c;ril ( ( n5ld!r.1t!r)r)j - i (,JrjlraLor) jjctuccri (irlr',rii lrnii !icr;lneirr - lvletrri lc:lsr i .llr!j
(iruritl - Par-ticle frajcctorir's in Craritiitiorr;ri ilei.j - l'hlsics in curr.'d spa.c-linrc -- Cur-r'ature - l)ropcnics of
Ilncrql and r)romentum l'crsor - Scu'arzclrilti :\'lctric - (iravitational Collapsc rrrd Fllacklloles - (iravit:rtioual
(I5 Hours)
Waves
I cxt : l'adrnanabhan, \'rrl l. (. h I I
i ( ()snr()log)': Cosrnoloqicrl l'rirrcrpl,: - ( i)\nr! )!JnJlr(! Corridtnirlci - [:qLrrvalent ('ottrdinittes Rtrbctlsott\\'alker Metrrc - -flrc Red Slritl - !lcusrrrr's ()1 l)rstance - R.cdShili \ crsrrs I)rstance Rclation - Steadv Srate
(10 Hours)
Coslrrology
Text : Narlikar, Srctions 3.1-.1.11
Books Suggested:
I
Grar,'itation
2
Theoretical Astro Physics Vol
& Cosrnolo-<y-S(ercn Weinberg-.lt;hn Witey (1972) ISBN: 0-171-92567--5
I arrd 2- T Padrlanabhau- (lambrid-qe Univcrsitv Picss (2000) ISBN:0-521)6240-6.0-5)l-562414
i Qrrasars and Active Galactir: NLrcici- Ajit K K,:nrhhuvi ancl .lavat \/ i.\:rrlikar-(larnbridge Universitv Press (1999)
IS
BN:f)-52
1
-47477-9
4 I'he Physical Universe. An lntroduction
1r;
Astrononry-F Shu-()xfirrd Unirersitl, Press- (1982) ISIJN: (r-19-
855706-X
5.A Different Approach to Cosmology - Fred Hoyle, Geoffrey, Jayant V Narlikar Cambridge University
Press
000) ISBN: 0 -s2t -66223 -0
6.An Introduction to AstroPhysics - Baidyanath Basu- Prentice Hall India ( 1997) ISBN:81-203-ll2l-3
7 Discovering the Cosmos-R.C. Bless - Univcrsity Science Books (1996) - ISBN:0-935702-6'7-9
8.Text Book of Astronomy an! Astrophvsics with Elements of Cosmology- V.B. Bhatia- Narosa publications
(2001 )ISBN:8 I -7319-339-8
9 Modem Astrophysics - B.W Carroll & D.A. Ostille - Addison Wesley (1996) ISBN:0-2Ol-54730-9
l0.Galactic Astronomy - J. Binney & M. Merrifield, Princeton University Press
I l.Galactic Dynamics - J. Binney & S. Tremaine. Princeton University Press
l2.An Introduction to Cosmology, Third Edition- J. V.. Narlikar, Cambridge University Press (2002)
(2
PHY 4O2E _ PIrySICS OF SEMICONDUCTORS
1. Band structural aspects : Effects of temperature and eleckic field on band structure, Frank-Keldysh effect,
Localized states of impurities : theoretical models and experimental probes (Capacitive and spectroscopic
techniques), optical properties : allowed and forbidden, and phonon assisted transitions and their spectal shapes,
( 12 hours)
Burstein Moss effect, excitons : free and bound excitons.
2. Statistical thermodynamics of carriers : Fermi levet in intrinsic and doped materials, Non stoichiometric
semiconductors, role of stnrchrral defects, Heav.v doping and degeneracy, electrical conductivity, Hall effect -two
band model, mobiliry of carriers, Mechanisms of scattering, measurements of mobility, recombination process,
,ri^
1l
el-li'ctrre Illi5i itil(l ii:
lirr clcelr0n ttansp()11, equilibntrm ittttl llt,tl ':qtttlthrtrtlil I)lt)('\se\( l-l hottrs)
nlclsurcmcnl. Tlrcrtnt,clcctlre p,'tt"r, 'trag'rcto resistivity
iJoltzrnanrr cqu..tr()ll
Metal-senriconductor contacts : Schonky barricr. P
characteristics of practical iunctiotts and deviations fror
capactlance. impurity profi ling through capacitance nrcas
4. Photoconductivitr' : Rolc of traps and recombina
detection, lumincscence, light enlitting diodes and laser
5. Surface states : Band bending and effect on
semiconductors, Quantum wclls' multiple quantum
preparation, special characrenstics and devices based
mobility transistor
-1.
References
:
'I R.A Smith Semiconductors, Academic Publishers, Calcuna (1989)
2 A.B Lev - Semiconductors atrd electron devices, Prentice Hall (1987)
)_
l)
4.
5.
ostrand
(lg'i0)
6.
PTI\'4(}2 F _ FT,TII D DYNAi\IICS
.. t! 11.,;. l,r i)( lr;tlr(',!
!,!l\
-102
(; Il()llF,ti\ ()E'l i(
s
l. l-igh{ Pr0pagati0n and \rcCtorial NatUrC:
F.lCCirtrtttagttL-tlc
\\ll\c
I)l(rJr'lllilt.l()ll'
Ilill'll)olll'.\\il\cs'
Pl)a5c
\larrtr rcprcsr'nlati(t!r\ - lr);i':
r.:lr.cit),. group i,clocil;. f,ncrrY flou, Po.trtting vet:tor. t)itlcicnt polariz;lrlio:rt
(l I [rottrs)
nlcilill
'\l](ll) lirrr'
a',i rar.nlrlriccs. GaLrSSiitrl he:lms itt l)olll()gallc()Lls
c.r!cr:lt:s Rirv
tll)ll'
c()ll'r'l)''
,ri
l)irtgr:
'cctrirs
ri.;il,tlitr
anrl
cohe'rcncr
pri.crpJi,.l'
t
heolr,<.rlplrrtia
srrlr,:,I.sition
l. (.r,hcrence :
c)ipclil!)illl
Il"ill)tijr\-ilro"rn-l\\'ls{
cohercllcd'
tlf liDe r,ri,lth. splrLtal
and cOherencc iength
- Phl'sical .rrigin
(I
I
hours)
ol Fouricr I ranslirnll Spcctroscopy
: interferencc *'ith rnultiple bcrrnis l'ai'ry-l'crot ittterlcrr-'nreter
,n,itn multipi;;;r;,
Interference
-1.
( 8 hours)
Bir:;ic idca
Resolving powtr. applications- Thoory of rnultilayer fi rns
thcorcm, Fresnel-Kircho
dilTiaction, Fratrnhtrlfcr diffraction patterns oI single sl
4. Diffraction : Kirchoffs
gratinr. Fresnel tliftraction pattent zone plate'.Recta
of F",].,.. trittrsfotlns trl dilllactitrn Aperturc furrcti<r
Text Books :
l.G.R.Fowtes,lntroductiontoMod.ernoptics(DoverPublishers}ISBN:0486659577
2. A. Yariv, Optical Electronics (1985)
References:
S.G. Lupson, H.L' Upaon and D'S' Tannhauser, Optical
2.A.N. Matvev, Optics (MIR Publishers)
3.Hecht, Optics (Addison WealeY)
l.
Physics
ELECTIVE
II
(Cambridge University Press)
21
PHI' 403 A : ELECTRONT(t INSTRUMENTATION
lmagrng.)
'l'Conrputer controtled tcsl s'slems: 1'csting an aLrcli. ur.|lifier
- tesrin-s a radio receive, -,,,,r,rr,rrJL: X:.li:)"
er)lllPtll^l cotltroJletl ir)\lrtrrT:LIrtlrtr(,rr Iul:ti 4l'S .-lcerrr.irl
rrrtcrlacc I ji-u,t,,l a.rnta,,l siglrir! ln.r.rr,r iir :r
iil).l,iill-()(ils\(lt i::t:i.,i Ilr,,r-,ller:t..n1
,,;,;:
5 i'rt;ri't tr-ritirrli: 5t ii
1 ni,,r: ()r'\-rrr('ri: i:r ir..lrji!, ..i:i;r .11 plduclr\r. j(,zr(l
i).r{rl.arjr.9. clrrttl..j lrv
',lrjliinq slrlrrnrble. ri.:r( I\rJ -oitt)(,j eorrtbrrrerj
ti... rr;rrj
r,rrrtrol ()l) r,ll-pulse c()r.rtt1)l ()l- rh,. S( R
srrppil lbr ti c tnutttl spct'd regtrlatit)tt b-y artrlrrr,c l.ltlsc
rl,,!t,r,lc end r'u.,cnt coatt.l
--aLnratui-c etrrreltt iir
irlr11r,ll rrl'lcrtr lor(lu(. ir.. nl,,l,,ri
(t0 h
,
Books lbr studr:
lModem Electronic instrtr')lcntation and measurcurenr t!'chniquc
i) rrsrlrruK
I,lellrick alro
an<j williarr
wttttil,n
- Albert r/
(latalr4c(irawHiil)fornrotjures r,l,4arrdscc.rdparrof2
:;:l:;5"'t
lnstrumctttation
r:lce
-
Seco,d editio,
-
H.S Katsi
('.t'ara
Mc Grarv Hilt) fbr modules
I
l. (.1111,r"'
l)
,
and firsr parr of
rronics aDd bio rncdicar insrrun)cnrarron
- C Rajarao and S.K. Gupra (Lrniversirrcs
4.Rio Instruntentation - .loh:r (i Wehster (Wiley,
student cditron ) lbr Transducers
"Introduction to Iixperirnenra-l
'5
Nuclear Physiis". Singru,R l\,i., (wiley Eastem,
1972). lortransducers
ri "Engineering EIecrronics". 2,,,,Editi,rn,Ry,jer.
.r D., (Mc(irarv iif f . f S6D i"; module
ilr:lrl:1jl.r:jjril,:a"i:r,
-5
PHY 403 B: COMMUNIC.AI.ION ELECTRONICS
(12 hours)
25
S. Radiation and antcnnas: Potential t'unctions and the EM field - Radiation [iorr an oscillating t'lipole Pouer
radratcd by a currenl elentenl - Radiation resistance ofa short dipolc - Radiation lronr a quarter u'ave monopole -
Dircctrvity
- Gain and cffective aperture - Anteuna
arrays
- Two
element, liDear and binomial
-
Frcquency
independent antennae - Log peri<-rdic antennae - Yagi antennae, Propagation ofradio waves - Ground u'aves. Sky
wave propagation, Space waves, Tropospheric scafter propagation, Extra terrestrial comtnunication Ionosphere
(14 hours)
Reflection and refraction of waves by the ionosphere - Attenuation
Refercnces:
l."Electronic Communications", Roddyand Coolen, J., (PHI, 1986). Chapters 7,8,9, l0,ll,l2,l8,l9
2."Electronic Communication Systems", 4n Edition. Kennedy, G. and Davis. B. (McGraw Hill, 1992). Chapter
6,8.
3."Electromagnetic waves and Radiating Systems", Jordan E-C. and Balmain,
l0,l
KG
(PHI, 1979). Chapters
1,15,t7.
4 "Digital Sigral Processing" by Proakis and Manolakis, Prentice Hall of India (1997)
PHY 403 C: MATERIAI,S SCIENCE
l. lmperfections in Crystals : Thermodynamics of Schottky and Frenkel Defects, Equilibrirun number of Point
Defects as a function of temperature, Interstitial Diffusion, Self-diffusion, Determination of Diffusion constant,
Edge and Screw Dislocations, Energy of Dislocation, Dislocation motion, Dislocation Multiplication: Frank-Read
(I0 Hours)
mechanism, Work Hardening of Metals
2 Alloys, films and surfaces : Binary phase diagrams from Free energy considerations, case of complete
miscibility, Gibbs phase rule. The lever rule, Rules of solid solubility, Hume-Rothery Electron compounds, case of
lirrrited solid solubility. rhc Errtcoic tcmpcrature Srudv of suriace topographr h-l nrultiple beam interferottretrl .
I)ctern'rination of step height and tllm thicknesscs(liizeau tr-inges), Qualitative rt]eas of surface crystallography.
scanning, tunneling and atorric lbrce microscop-v, Boltzmann transport equation tbr a thin tllm (for diftusive
(17 Hours)
scatlering), Electrical conductivitv of thin films
3. Cleranric Materials: Stlicate slrucr'rre, Polr.nrorphism, Solid solution- Nrrn-ductile liacttrrc. ['lastic
(8 hirurs)
delbrntation oflayerecJ structurcs, \/rscous defonnatiorr ofqlass. []lectrical propertics ,rfccramics
1. I'oh,mers - Unsaturalcd hydrocarbons. ['olynrcr size. Addition pol\rrr:rrzation, Copolyleriz.iti,,tr.
(londcnstition poly.ntcrization. -ihcnnopliutic antl thcrmose ttin-s rcsins, Elastorncts- ( iross-lirtking. Branching
(10 Hours)
5. Liquid crystals, Quasi cr,vstals and Nanomaterials: Stmcture and s),rnmetries of liqtrids, Liquid crystals and
anrorphor:s sotids, Aperiodic crystals and quasicrystals. Formation and characterization of Fu[erenes and trtbrtlcs,
Carbon nanotube based electronic dev'ices, Synthesis and propefties of nanostructured materials. Experimental
(15 Hours)
techniques for characterizinq nanostnlctured materials, (luantunr size elfect and its applications
Refercnces:
I "Solid State Physics", A I Dckker (MacMittar, t9511)
2 "lntroduction to Solid State I'hysics", C. Kittel(M'iley Eastern, 1977)
i "Eletncnts of Materials Sqicncc''. L.[I Van \rlack (Addison Weslcy)
4 "Physics of Thin Films", K.L Chopra
5."Thin Films", O.S.Heavens
6."Multiple Beam Interferometry", Tolanskry
7 "Transmission Electron Microscopy", Thomas
8 "The Physics ofQuasicrystals", Ed. Steinlrardt and Ostulond
g."Handbook of Nanostructured Materials and N-anotechnology'', Ed. Harisingh Nalwa
.
PIrY 403 D: COMPUTER SOFTWARE AND A?PLICATIONS
l
Language Processors : Introduction-Language Processing activ.ities - Fundamentals ofLanguage Processing (10 hours)
Fundamentals oflanguage Specification- Language Processor Development
Tert : Dhamdhere, sections 1.1 - 1,5
Tools
Assemblers, Macros and Macro Processors r Elements of Assembly l,anguage Programming- A Simple
Assembly Scheme - Pass Structure of Assemblers - Design of a Single Pass Assembler for IBM PC, Macro
2.
Definition and Cal l- Macro Expansion.
Text : Dbamdhere, sections 4.1 - 4.4, 5.1,5.2
(10 hours)
26
Compilers, Interpreters and Linkers : Aspects of Compilation- Mernory Allocation - Compilation of
Expressions- Comprlatron of Control Struclures- Code Optimization - Interpreters, Relocation of Linking
Conceprs- Design of a Linker-Self- Relocating l'rograms - A linker for MS DOS- Linking of Over layers(15 hours)
Loaders.
Text: Dhamdhere,sections 6.1 -6.6,7.1 -1.6
4. Operating systems : Batch processing systems - Multiprogramming systems - Time Sharing Systems - Real
Time Systems - OS Structure- The Process Concept-Process Definition- Process Control - Interacting Processeslmplementation of Interacting Processes- Scheduling Policies- Job Scheduling - Process Scheduling (15 hours)
Text : Dhamdhere, sections 9.1 - 9.5, l0.f - 10.5, ll.l - 11.3
5. Software Tools and deadlocks : Software Tools for Program Development- Editors - Debug Monitors Programming Environments - User Interfaces, Deadlocks:, Definition - Modelling the Resource Status - Handling
(I 4 hours)
Deadlocks -Dead lock detection and Resolution - Deadlock
Text : Dhamdhere, sections 8.1 - 8.5, 12.7 - 12.5
3.
TEX'T BOOK
l, "systems Prograrnming and Operatiug Systems"., D.M.Dhamdhere (2'd revised edition), Tata McGrau'
I-lill,Publishing Co Ltd ,Nerv Delhi. 2003
REI,-ERENCE BOOKS
I Svstcrn ploqramnlrrr ioltn I I)orrrrr':ln 'i ill:l \'l.t inrri- FIill
()pdi ilill-:lS\i1cir .\lrl.ir-.\1jl:lri.L,'ii.J,1.'Lrr,r.r iiriiittitrrtairottrrl i:tjiti,,i
.i t)pt-iating Svstcrr' '.'uiir l{ircirit. (Sr-coitd I dnt lll'B-Publication
-1 "r\n Inrrotluclion to Opcratinu Svstcnrs'-, i)cirtl tl \4 .12"'r edition), Pearsou cdrrcation 2002.
5 'Opcrating Systcrn (lorcepts". Silbcrschatz,\ aud P Galvin, (5'h edition), Addison- Wesley, (19991,
l'H\'
,10-l E
: Dl(il l'Al. SIGN.{L
PROCESSIn-C
J Signals and svsteurs, ('lassrtlr:atron trf srgnals. ('oncept of frequency in contrnuous time and discrete tiute
signals Theory of A/D and DiA convcrsion. Samp)ing of analog signals. sampling theorem Quantization of
(ll hours)
signals Quantization of sinusoidal signal, Coding of quantized samples.
'I'ext Book : Digital Signal Processing b1, f'roakis & Manolakis, Prentice Hall India 1997. Chaptcr I
continuous amplitude
(cr-rmplote)
2
Discrete- time signals & svstcms, Discrcte- llne lirreur tirnc-invariant systems-Techniques of analysis of Iinear
systems, Resolution of a tliscretc tinrc signal into inrpulses- Response of LTI sy'sterns to arbitrary inputs
f-onvolution sum- Propcrties of conr,olution and the rntercrrnnection of LTI systems- Casual LTI systerns Stahilit),
rtf LTI systems- Systcms uith finitc durirtion and infinite duration impulse. response Discrete- tinre systenrs
described by difference equations- Recursive and non-recursive discrete, time systems LTI systems characterized
.
b1 constant coelficient difference cquations, Solution to linear constant coelficient difference
correlation ofdiscrete{ime
signals
equations,
(10 hours)
Text Book:Digital Signal Processing b1' Proakis & Manolakis, Prentice Hall India - 1997, Chapter
2
(complete)
3 The Ztransform, The Direct Z-Transform, The Inverse Z-Transform.Properties of Z-tr-ansform, Rational Ztransforms, Poles and zeros, lnversion of Z-transforms The inverse Z-Transform by contour integration, Power
series Expansion, Analysis of linear time-inVariant systems in the Ziomain, trans'fer functions, stability in Z
domain Digital filters - introduction, ideal characteristics of standard filters, state space description, filter
(12 hours)
approximation by window functions, Design of linear phase FIR filters using windows
Text Book (I):Digital Signal Processing by Proakis & Manolakis, Prentice Hall India -1997, Chapter 3.1 3.6
4. Frequency analysis of continuous-time signals. Th9 Fourier Series for continuous Time Periodic signals, Power
Density Spectrum of Periodic Signals, The Fowier Transform of Continuous -Time Aperiodic Sipals, Energy
Density Spectrum of Aperiodic Sigaals, Frequency analysis of discrete time sigrrals, The Fourier Series for
discrete time Periodic Signals, Power Density Spectrum of Periodic Signals, Fourier tmsform for discrete time
aperiodic sigrral, Convergence of the Fourier Transfom, Energy Density Spectnrm of aperiodic sigaals,
Relationship of the Fourier Transform to the Z Transform, The Cepstrum, The Fourier Transform of Sipals with
poles on the unit circle, The frequency Domain classification of sigrrals, Concept of Bandwidth, Properties of the
(15 hours)
Fourier Transform for Discrete Time Signals
TextBook:Digital SignalProcessing byProakis&Manolakis,PrenticeHalllndia-1997,Sections4.l-4.5
^)
21
5'l'hc I)iscrete Irorrricr transtirnn, Relationship ol tiru t)i I to thc othcr truttslirtt.tts [)ropeflies ol' l)[il'.
i\lultipalication oi lrio [)l'l's and Circular courolrrtiol't. Frcqucncrl'artallsis of st-{tt:ls trsing tlrc I)l-'l'
ol the [)iscrcte Irourier Transfomt l]ast [:ourrcr Translornr algorithnt. l)ccintatiorr in Tinl': l][:T
algorithnt, Decimatiorr rn liequency FFT algorithnr, FFI-irJgorithrn lirr N a cornpositc ntttrbcr. Cit:ncriil
computational considerxtions in FFT algorithms Chirp Z.-'L'ansfonn algorithnt, Applications of FFT algorrthms,
Compulation
Quantization effects in
thc
compulation of
DF'I.
(14 h<turs)
Text Book:Digital Signal Processing by Proakis & I\lanolakis, Prentice Hall India - 1997, Scctions 5.1.2'
5.1.4, 5.2.1, 5.2.2, 5.4, 6.1, 6.2, 6.4
Reference Books
I .Digital Signal Proccssing by Oppenheim & Schafer, Prenticc l{all India I 995
2.Digital Signal Processing by paulo S.R. Piniz, Eduardo A R [)e Silva and Sergio Netto - Carnbridge University
Press
-3.Analog and digital signal processing by Ashok Ambradar
4.Theory and Applications ofDigital Signal Processing . Rabiner & Gold, Prenticc tlall India -l 996
PHY 403F : RADL\TION PHYSICS
l.Radiation source : Different types of sources, alpha. beta. girrnma, neutrol) and heavy ion sources, radioacli\,c
- naturally occurring production ofartificial isolopos. accelerators cyclotrons, nuclear reactors (10 hours)
2.Interaction of radiations rvith matter: Electrons - classical theory of iuelastic collisions with at()tnic
clectrons, eoergy loss pcr ion pair by printary and sccr,ndan irrnizutron. spccrtii cnergv loss. brctnssttaltlttn.tt.
1lp.!e cpcr,g\r rclaliql c1(.t!,\,itpd laltoc sIraC_glittg iir'.rrr cilrrleii f,lirliclr'r jl(!1)pittl l)(r\\ci- (rlci-[\ l,,sS t ittgr
I:li.r:l .': ll il:ltlll'lt,
r ,,li(j;l- (;,iilll l, r
r;:LI ;lt;tle
Jllcr.!: i-l:lt )rti ililtli cutrc. .iriLllr
sources
lllastic aDd ilclaslir sctrtlcrirrll, Ncrtlrotrs
(luncrirl r)rrl)(:rlrr's f-ltst ttcuUrro irl(cr.t!!tr)tl:- siotitilt dr)\\ll,ln(i
(14 ltours)
crtrss
flr-rx
and
fluence,
cnerg,v
flux
and
fluence,
Particlc
quantities,
and
Dosimeters:
Units
3. Radiation
sections, linear and mass absorption coefficients, stopping porver, LET, exposurc irnd its measurements- ahsorheri
dose and its relation to cxposure, Kerma, Biological eifectireness- Equivalent dose, Effectivc loss. I)osinretcrs.
Primary and secondary dosimeters, Pocket dosimeter, l"ilnts and solid dosimeter ('ILD and RPL), Clincal and
;noderation
calorimetric devices
(13 hours)
4.
Radietion transport and shielding: Basic conccpt. Trausporl equation, Fick's law aud diffusion equatit)r).
Boundary conditions, Analyical solution, Slowing dorvn theory, Resonance absorplion, Criricality calculatiotrs,
Fermi age theory, Four factor formula, Shielding factor fbr radiations, Choice of rltaterial, Primary aud secondary
radiations, Source geometry, Beta shielding, Gamma shielding. neutron shielding, Shielding requirements for
( l3 hours)
medical, industrial and research facilities
5. Biological effects: Basic cttucepts olccll biolog;. Ifli'cts rrf ionizing radiatirrrts at tttrtleculat, sub ntolccttlar
ald ccIular lerels, sccondarv ctlccts, lree radicals, irpplicrtlr,rrts tn canr]er thcrrrr\, fuotl prcrerrati()ll. radilrtioll
and sterilization, Effccts on tissues anci organs, genetrc clticts. Mutation and chrolr.tt'somal abcrtations (10 hours)
Reference books:
I "Atomic Nucleus" . R.D Evans
2."Source book on Atomic Energy" - Samuel Glasstone
3 "The Physics ofRadiology", H E. Jones and Cunningham, (Clharles C Thomas - 1989)
4."Fundamentals of radiology", W.J. Meredith and J.B. Massey (John Right and sons - I989)
5 "Principles of radiation shieldrng", A.B. Chilton (Prentice Hall of India)
28
EI,ECTIVE
III
PHY 404 A : QUANTUM FIELD THEORY
l'Classical Field Theory : Harmonic oscillator, The linear chain- classical treatment,
the linear chain - quantum
treatment, classical field theory, Hamiltonian formalism, Fuoctional derivatives
, Canonical quantization of nonfields, Iagrangian and Hamiltonian for the Scbroedinger field,
-relativistic
euantization of fermions and bosons,
Normalization of Fock states
(12 hours)
Text Book : "Field Quantization" Greiner and Reinhardt (Spinger-Verlag
-1996), Sections 1.3 - 1.5, 2.2,23,
3.1 - 3.3, Exercise 3.1
on lields : The neutral Klein
fi
- Maxwell
ical quanti
Gordon
-
Gordon field Commutation
relations,
ity for the
_ Gupta_
Text Book : "Field Quantization' Greinerund R"irhg"'.:T(Spinger-Verl ag
-1996),Sections o.r, olrlooT}?
7.t -7.4,1.7
'l Canonical quantizatirrtt rrf spin )i elds ; Lrrg|rrr-{ian :rnd I{arniltoniirrr d!'nsii,es lirl. 11.- p1,..,. licld ( iInonir:al
!lriilntization ttf titc l)ir.:, tlrid. l,l:,nr. \ il\ i j\ll.1nst()11 (li Lhu lleld openltor,
Fe rrnan pft)pagi{roi_ ttrr thc, i)irac
rjeld
nu"t'
Text Book : "Field Quantization" Greiner and Rcinhardt (Spinger-Vcrlag
-1996), Sectiors r., - r)l'
4 lnteracting quantum fields and Quantum t tectrodynamiis : The lnt"raciion picture, Time ev.lurirn
()perator, Scattering matrix, \llick's tlteorem, Feynnran
rules for QED, Moller scattering and Compton scatte,ng
Text Book
Example E.4
: "Field Quantization"
(I0 hours)
Greiner and Reinhardt (Spinger-Verlag -1996), Sections g.2 E.6,
istic Quantum
point functions
path inregral,
calar quantum
or, Generating
en,s function,
(12 hours)
Text Book : "Field Quantization,' Greiner and Reinhardt (Spinger_Verlag _1996),
Sections ll.2 _ ll-5, 12.l
-
12.5
References
:
l."Quantum Field
2 "Field Theory -
ess -1995)
996)
3."Quantum Field
4."Quantum Field
PHY 404 B : EXPERIMENTAL
TECHNIQUES
,,
and
Ion
valves,
Tert:
2.Thin
rtion
:3':
valves,
s, and gask
L4,t.6_l
tbin
on of
.5, l.l0
vaporat
heating, Electron beam evaporation and laser evaporafion techniques,
Sputter deposition, Glow discharge,
Thickness measurement by quartz crystal monittr, optical interreience
methoq elecrical conductiviry
measuremeDt, Thermo electric power, Interference filters - Multi layer
optical filters
( l0 hours)
Text : Varier, Antony &
3.Cryogenic techniques :
Linde and Claude metho
manipulation of liquefied
cryostat, using liquids boiling under reduced pressure, production of
low temperature below I deg K
-
{)
l')
hcltlr" l(l''
r\tji;rSarrc 6olr3gnctrs,r(r6p lrnrl magnetic rclrigerlrtot, Spcct.rl properlres ol lrtlLlrtl llcltunl, tenlPcratttlc
atttl
tltcrltltrlttclct.s
glts
lllcl.lllo))lcters
l'ritlla|l
K - Nuclcar dentaerrclrsalrorr, Meisurement ol'l()rl lclrperaturc:
!'aPotlr plcssLlre
thcrlrolrclers'
thcnlltletlttplctllcrlll()lnetL-rs,
resistallcc
seconaar)'thcrmrrtneters
correutions.
( 15 hours)
thcnnor)rcters, magneiic thcrtnometers
and
3.7,
3.-1.7,3.4
-1.()
-3.1(l
Sections
-1.1,3.3.1
Pradyumnan.
Anionr'&
Text : Varier,
Tandem
4.Accclerator techniques : Fligh voltage I)C accclerators. Cascade generator- \tarl de GraafTaccclerator,
Van dc Graaff accelerator, Linear acielerator, (lYclolron, Synchrotron (lilt'ctron and proton), lott st)urces
anci
lonization processes, siruplc ion source, ion plasnra sourcc and RI'iort sortt'cc, lon inlplantation - techliques
(10 hours)
profiles, lon bcam sputtcnng-prirlciples and applicatrorls
iext : Varier, Anton-y & Piadyumnan, Sections 4.3, 4.4.4.5.1.4.5.4, ,1.5.5, 4.6, 4'8.1 - 1.8.1' 4'9
5. Materials Analysis by nuclear techniques: Basic principles and rcquirements. mathenlatical basis and
sciittering
nuclear reaction kinematics. Rutherford backscaflering- - introduction. kinenratrc factor. difterentirtl
ications, Nuclear reaction anal-vsis
loss
a
cros
ctions lor light elements, applications.
pnn
react
r
Proton induced X-ray
ex
s
Neu
' applications'
hair
samples and forensic
hunlan
les'
aPP
x
,
anal
(13 hours)
samples. limitations ol'I'lXE
Texi:Varier,Anronl,&Pradyumnan,sectionsS.-1,5.4,5.8,5.9,6.1 -6.5,'/.2- 7.6.8.2-t1.5'9.2-9.5,9'7
Tcxt Book :
Advancctl Experrmental Techniques in N{odent
l)hysir:s K
Mrrraleedhitra \raricr, Antoni' Joseph arril P I''
Pradyrrnrnan. Pragati I'rakeshan Meerut (2006)
llooks for rcfcrence:
l ril!
!.;-rttill. ii,rttrlrrti,',,''|il,,i'tllirlll!:clllli!llrr- j''ll'll:lr''': "'l'\i
i
i"lrl
lil'l
icrss,'l
i
'
- I ill.l l,l,,k ,,' illtli lrlr lL t illlrrlrilr
--l Iltut iilrtt phctrorllctlrr K i (-llopra.. Nlc (lrrrl llrll (l')Sll r;6115
1111 i()(rl
{. l-ou'tetrperature Pltr.'srcs - bv t-.C..Jackson - lolltl \\'rJ':1" &
5. [-or*
tcmperature lce-hniqucs - f,y
F.Di, al)d,,\ []
('.ockc1- Gotlrq,c
Ncutlc: Lilrltle.l (i on.lorl) I()60
(r l:rank Ptthel - \Iattcr antl rncthods at lo\\'tel-npL'rJturl Springer Vcrla-u 1)9911
I R Sr.'cnivasau ,\pproachtoarbsolute zero-llcsonarte(.rlilgazine \rll Itloi'rol Illosl-()llll(l lil
s I( tle rri, P NI t-l.rll :rnrl \,'l T IIunis - Thin fllnr 1.('hllirlolli \/arr \crsltrttl(l i l')trs
9 l)cnnis and tleppcl - VacLttttn system design
l0 A pipco. \r pliskc,vsky. B. Koiolel and V KLrzrr,,tsor Fundamctttal-. of \':tctttttlt 1'ecltniqucs - Mrr
i
PubIishcrs
I
I
Nuclear Micro anall'sis V- Valkovic
PHY 40.r C : C-()NDENSEI) \{AT-I-ER Pll}'SICS
full(:tioll' l(clitllolr Lt!
l.Dc,sity'opcr6ror atrti ils corrclation lunctions- llclatitrn lar sfnlclLlre lactt)1, J)ilil corrclalirro
Iatticc arrtl I]ragg
rcciprocal
ol'cn'slals.
phase.
s),nrmctD'
thc
condcusctl
C.rrelation lunctrons t() s\4nrnetr),gl
Jyr>troPic licltrid
atrd
hexalic
sttlct:tic.
scaltcring. eualitative ,lescnptiorx of slructurc o1': ncmatic. cholesteric.
)'Stals and randort isotropic fractals,
Incornrnensu
betwee
susceptihility ofa ferr
crystals;
s and partition function, nlagnetization correlation
2.Connection
3.Mean
rnodels,
'nematic
and
continuous syrnmetries ofthe condcnscd phase, 22,Zv an
'.
ility and the
Tricriticat
theory of liquid - solid transition.
Transition
Landau Theory' The Ising and-n-vector
of mean field transitions' The first order
ta magpets' He3-He4 mixtur-e' Density
(1
I Hours)
functional
e ordet'
4.Fluctuations of the order parameter and the breakdown of the order Parametef,
Critical
one
ield,
fluctuating
the
of
parameter field, Hamiltonian in terms of powers
ization'
Is
dimensional
one
construction,
the
Kadanoff
relations,
scaling
and
exponents
expansion
e
and
renormalization
shell
Momentum
graphite,
adsorbed on
Application to noble gu,
(12 Hours)
"to-,
in an elastic
waves
n'
sound
functioos,
Response
5. Time dependent correlation functions,
Einstein relation, Langevin
continuum, acoustic phouons in a lattice, Green function for
Fokker - Planck equation'
tfr"".y fot the correlation functions for diffusion, Fluctuation
'
30
[:ranrplcs of kinks and walls in an Ising latticc, Alalytic solution for a kink, The
I"lcnkel Kontorowa model lbr adatoms on a latlice
Sine
Gordon suliton, l-he
(14 Hours)
Text Book:
"Principles ofCondensed I\4atter Physics", P
M Chaikin & T C
Lubensky (Carnbridge IJniversity Press).
Relerence books :
I "Intermediatc Quantum Theory of Crystalline Solids". A O.E. Animalu (Prcntice-Hall ollndia, 1978)
2 "Solid State Theory", W.A Harrison, (Tata McGraw-Hill, 1970)
3 "Principles of the Theory of Solids", J.M. Ziman ( C U . P , 19'72)
4 "Solid State Physics", N.W. Ashcroft and N.D. Mermin ( Holt, Rhinebart and Winston, 1976)
5. "lntroduction to Solid State Physics", C. Kittel (Wiley Eastern, 1977)
6 Introduction to Solid State Theory", O. Madelung (Springer-Verlag, 1978).
7 "Physics of Modern Materials Vol II" (IAEA, Vienna, 1980)
i{ "Statistical Mechanics", B.K Aganval and M. [-]isner (Wiley Eastern, 1988)
9 "Renormalization Group Theory of Critical Phcnomena (IPA Monographs) S V.G. Menon, (Wiley Eastern &
Neu Age International Publistrers, 1995)
f iii
-1{14
E}: {lH 1(}S
.\\f ) (()\ : l\1. \F. !'trI1-!t(
S
I I hc l)rnaarics ui []ilfcretrtial liquai!ons : ll)l(grati()rr of iinear sec()n(j ()rdcr .(luaii(rils iri quatiralLu.. ; ii.'
rllrnped oscillator, hrlcglalion o1-nonlirrear sccorrd rrrr-ler equatirrn, Jacobi cllipric tirncliors. Weicrstrass r'lliptir
lL:lrt:tiorrs, I'eriodic stl'uLrlurc ol-elliptic functrons. T-hc pclrtlulunr equation. I'hasc portrair olthc oendulunr. l'ha.sc
|,rirti.
i)ortrails for conservlitive s\,sIcms, I-rnear stabrlitl'analvsis, l-inearstabi[it), nratrix. L'lussification ol ilxcti
l rurrrplcs tri'tll.'.1 poirrl anllr.sis, [-irrrit ei,6l.' Tirre rlrpcndcnl integrals, No]) ij!rtonunrrlus s-\'stcrns. -Ilrc tiliven
(l3 iriru:-si
,,..iilator. Itcnrarks on intr'ql-ati(rr) ot-dittcrcntial ctluations, Elliptic t'r:nctjons (C'hap l.-l-abor)
2.HanriltonianDl'namics: Lagrangiantbnnulationofnrechanics,LagrangiantirnctionandHarnilton'sprrr:ciple,
f'roperties of rhe La.qrangian and generalized momentunr, Hamiltonian formulation ol mechanics, Hamilbn's
cqriatiorls, Canonical trauslomratjons, The presenation of phase volunre, The rrptimal ranstbrmation, Cenc'rating
Liurction, Hamilton Jacobi equation lor oue degree of flrcedonl. Action angle vuriable for one degreo of frecdonl,
intcgrable Ilamiltonians. Separablc systcnrs, Propcrties ol- integrable systerls. Iixanrples of integrablc systems,
(13 hours)
Motion on the tori, Fundanrental issucs, KAM tlieorcnr ((lhap 2 and sec 3 4, Tabor)
-1.(-haos in Hamiltonian s)stems and area prescrving nrappings : Surtlce ol section. Suriace ol'section tirr
!u,rr deqrees of fieedom Hanriltonians-'l'hc Henon Heiles Harniltonian, The-l'oda lattice. Surfacc of scctio:r as a
-lu'ist rnaps. Mappin..q on the plane, Connection betu,r'rn area prL-scn'ing nraps and
svnr;:lectic nrapping,
liar:rilrrrnians, IIre standard maps,'l'he tangent map, Classification of fixed points, Poincare Bilkholf tixcd point
thcori'nr, Hun-roclinic and heteroclinic points. The inlersection of H+ and H- whorls and tendrils, Criteria lor locai
chaos, Lyapunov exponents, Power spectra, Criteria for onset
of
widespread chaos, Method
of
ovcrlapping
resonances, Greene's method, Statistical concepts in strongly chaotic systems, Ergodicity, Mixing, Thc Baker's
transformation and Bemoulli systems, Heirarchies olrandomness, Hamiltonian chaos in liquids, Fluid mechanical
(13 hours)
background, The model system, Experimental results (Sec 4.1 to 4.8, Tabor)
Dissipative systems and turbulence, The Navier Stokes equations, The
4.Dynamics of dissipative systems
concept of-turb-ulence-a l{amiltonian degression,-Expbrimental observations on the onsot olturbulence, Couette
:
florv, Rayleigh-Benard convection, Landau-Hopf theory, Hopf bifurcation theory, Ruelle-Takens theory, Other
scerlarios, Fractals, Mathernatical model of strange attractors, Lorentz systems, Variations on Lorentz model, The
Henon map, Period doubling bifircations - Period doubling mechanism - Bifurcation diagram - Behaviour beyond
(13 hours)
I p - Other universality classes (Sec. 5. I to 5.5, Tabor)
5. Solitons
:
Historical background, Russel's obseryations, The F U P experimenl, Discovery
Basic properties
ofKdV
equations, Effects
of
the solution,
ofnonlinearity and dispersion, The traveling wave solution (Sec 7.1
and 7.2, Tabor)
(E
hours)
Text Book:
"Chaos and Integrability in Nonlinear Dynamics", M Tabor (Wiley, New York)
References:
l. "Chaos and Nonlinear Dynamics-An Introduction for Scientists and Engineers", R.Hilbom(Oxford University
2
Press)
"Deterministic Chaos -An Introduction", H.G. Schuster (Wiley, New York)
:
a\
,jl
-l
-1
-5
6
7
'Chaos in D_tuurruclj SysLctls". l-. Ott ((iunrhrrduc []rrjrcrsrty l,ress)
"('haotic Drrartrics-,\rr [rtrorlrrctiorr". (i-l]aker arrd J (it,llub (('amhridge [ ]niversit) ]'rcsst
"An Intrttduclion to Clraotic I)ynarnical Syslems''. R L l)evane1,(Beniarnin-('untrlings. ('.\)
"l)cterministrc ('haos". N Krrnrar
"Nonlinear dwanrics", Laxntana (Springer Verlag. 2001 )
PHY404 E: LASERS AND FIBRE OPTICS
l. Elements of Laser theory and Optical Resonators : Einstein coefficients , Evaluatitrn of transition ratcs
Line broadening filechanisms, Laser rate equation lor three-level system, Laser porver, (lavity modes, Q ol a
cavity, Q switching, Mode lockinq, Confocal Resonator, Planar resonator, Analysis of optical resonators using
geometrical optics
(l I hours)
Text Book:K. Th1'agarajan and A.K. Ghatak - Lasers - Theory and applications - MacMillan. Sections
3.3t, 3.32, 3-3, 3.41, 4.2, 6.2,6.3, 6.6-6.8, 6.ll
2. Types of Lasers and Applications : Ruby laser, Heliunr-neon laser, Four-level solid state lasers, CO2 lascr,
Dye lasers, SemicondLtctor Lasers, Spatial frequencl, filtering and holography, Laser-induccd firsiorr. llamonre
( l3 ltours)
generation, Stimulated Raman scatlering, self-focussing, Applications in material processing
Text Book:K. Thyagarajan and A.K. Ghatak - Lasers - Theory and applications
- MacMillan, Scctions 9.49.8, 10.2, loj, I r.l - 11.4,13.2 - 13.4,14.2,14.2.1 - 14.2.4
3. Optical fibres and Classification : General, Wlat are optical fibres, lmportance, Propagation of light rvaves in
optic fibres, Basic structure, Acceptance angle, Numerical aperture, Modes of propagation. Cr.rt off parameters,
single mode propagation of oqiical fihres. stepped inder monomode fibres, disadvantages, g'aded index
(l-1 hours)
nronomode fibres. mechanisrrr oi reliactir,c indc.r rar i:rtion. fihrc strcnglh
Texi Book:Subir Kunrar Sarkz: - (!r.rtical fihrt's arri Gi:r-r'()ptic Conrrrrucriiaii!,!r \\s(r!r.- S {'h:r'rq! '! t ::
(2003), Sections : i.l - !.3,2..: - l.ill. -l.l - 1.5, -1.r{. -3.9
4. Optical flbre as a c)'lindric*l wareguide and Fibre iorses : Optical fibre rs cylindricai \rir\.c lrurdc. \\ r\ e
equation in stepped index fibrcs. flt)rv of po*,er in SI tlbres Model analysis of graded irrdex tibres. Attenurtiorr
in optical fibres, Absorption losses. Leaky modes, Radiation induced losses, inhercnr defect losses, inverse square
(lf hoursI
larv losses, core and cladding losses
Tex( Book:Subir Kumar Sarkar - Optical librcs arrd librc Optic Communication slstenls - S. Chand & C'o
(2003), Sections : 6.1. 6.2, 6.4, 6.5, i.t'.7.4, 7 -5.7.7 - 7.9,7.12
5. Measurements on ,ibres : Measurement of numerical aperhue and its related tenns, measurernent of tlbrt:
atleouation - insertion loss nrethod and by C)ptical time domain reflectometer (OTDR). measuremenl oirefractirt(10 hrrur-s)
index by reflection rnethod and transmitted ncar freld technique
Text Book : Subir Kumar Sarker - Optical fibres and fibre Optic Communication systenrs - S. Chand &
Co (2003), Sections : 20, 20.2, 20.4, 20 -4(l l, 20.3, 20.8( I ), 20.8(2)
Reference Books:
I A. Ghatak and K. l'hyagarajan, Qptical Llectronics- Fouurlation Books (Canbridgc Unir.ersity)
2.N. Sharma - Fibre Optics in teleconrnunications - 'l'ata McGraw Hill - 1987
3.F.G. Smith and J.H. Thomson, Optics - ELBS
4.M.J.N.Sibley - Optical Communibations (IInd edition) - MacMillan
-
-
1996
1995
PIIY 404 F : ADVANCED STATISTICAL MECHANICS
l.Thermodynamics of crystal lattice, ths field of sound waves, phonons and second sound, The Debye model,
Debye temperature, spgcific heat of solid in the Debye model . (10 hours)
2.Non ideal systrms, intermolecular interactions, Lennard Jones potential, Corrections to the ideal gas law, Van
der Waals equation, Short distance and long distance interaction, The plasma gas and ionic solutions, The Debye(12 hours)
Huckel radius
3.Phase transition, critical point, First order phase transition, Phase diagrams, The theory of Lang and Lee, A
dynamical model for phase transitions, Weiss theory of ferromagnetism, Second order phase transition, Landau
(12 hours)
theory, Critical point exponents, Chemical equilibrium and chemical reactions
4.Ising model as a macroscopic model of phase transition, Why the Ising model is very important? Relationship
betweeen lattice models, models of ferroelectrics and Ising model, The classical formulation of the problem,
Exact solutions, Drawbacks of the mean field approximation, The static flucfuation approximation as new method
(14 hours)
for solving the Ising problem
32
5Iiluctuuttolrs, l'luctuations ol macroscopic variablc.s, fheory of random processcs, Response and fluctuatrorr,
Correlation firnctions, Spectral anall'sis of fluctuations: the Weiner-Khintchine theorenr, l-he Nyquist theorem,
Applrcations ol the Nvquist
Text Book
I
Patria
:
theorem
"statistical Mechanics" (Butterworth-Heincmann,l996)
Reference Books:
I Kerson fIuang : "Statistical Mechanics,'(second edition) (Wiley, I9g7)
2 B K Aganval and Melvin Eisner :"statistical phvsics"
3. Guptha and Kumar : "statistical physics,,
4 J,E Meyer and M.G. Meyer, Statistical Mechanics, Jolin Wiley
(12 hours)
.^
i
r
ii
iat,it.t, riiir:;
; | ,: rrllt;l
(\trll)ctIaill i!llcrluta illlrr]L!,iliLJi) itll!l bitlt(l\!r,'
i)irirr,rl lli'ie, r,,, ,!i.rr.li!\
i )trlrr.ri licd h,rr i., , r. rri tI cetllrack 1]e tor.
lc\port5al
-gairr ,rrttl iic.litcrict
l\ \[)\ A\(-F-i) \i ( i.i] \R I'liI'SICS
I
2
I
-1
-5
6,
?
ur)d
RAI)lA-l I()\ PIIYSI(
:
S
llalf'lrt'e ollnLlrr:nr lhr'rrnal neutronabsorptr<,rn- I'odefcrnrincthchali lrlcol'in
ll6hr n:rdr,rlrlrtllJttioil
anrl heta countinu lisrnl a (iM counter
Alpha spectronlctrr - Trr ealibrate the given alpha spectrorteter and deter ttttrtc lirc t csrrlitl ttrrt
Photoelectric cl'lce r rn lc:rtl - To get the spectnulr of'X ra_v-.s enritted tbrnr lcirti tiirqel Lr\ pholr) cl.ciric .i'lircl
usrng (,-s- l -J 7 qar)ullir5
Ilrner brernsstrahluug - fo study the inlensity spectnrnr of inner brenr-sstrzrhlrnrlt liottt -r:trcn llanttrlr s()ttrcc
Coincidence circr.rils - l-o construct and study the perlormance of serics and Parallol coincitlcttrt- circrtits
using transistors und ttr dctermine the rcsoh,ing (tnte
li
Single channr'l anall'zer - Snrdy ofcharacterisrics ofa SCA using precision pr:lser
Ionization charnbcr - Study of variation olpulsc hcight rvith applied voltagc and to otrtarng thc Irrlsc hcigltt
spcelnrnr oIX-r;r'.
Propo(ional countcr Srudv of varialion of pulse hcight rvith applied voltugc rn(i l() olil.tining tlre prtlsc Ire rlht
Q
sllcctrum of ,X-l ay:
Track detector track ciiameter distribution - J'o measure the dianreters
ol
rhe alpha ttacks tn
( l{-li)
track
dctector
lir g.'1.ra-vspecln)nr.tL'r -loplotthcmornennlmdistrihutionofht'taparficltstti,in{trr'tthr.T:tsotlrar's
l1 il:rrrle L'l-uipit.,t',rrt.l..rrrlrir apdptrlltr--fL,ticlert:rinclhr't:tttlcli-.11f i,, rLiri'la\ 1",111 \;rr';;
,,
,'; I,', ;, ',
\l',::rlrii:.',
,
I
.
h
x
!t
l(r
, I (i,!li!a!.',
:i
.:
r'
l,i'i
trir, r ,lr'l
lL, ,,:
I
, ,-.
'1r
i\l . ,tritr-
",
iL.L:jl,LcrlsPlratrulll
ii.yLlhci-uai)it:lilrri
i.Sli
Lar:rle r l,r, i,'r
I!,. .;_..,,,,r1,,r1 1rl t, I :.i:Ii\ia.
irrli:i l\Llllrj
, ..i: . :.- ilLL r;
i JLtrrUll I,tililli
I j li, i .'l ( (inil((lll'lr l)llrC:
i\bsorption [ri]r)(!s ol iotiinc
\'lhraiioniil
hirrrris
,-r
j'.r.1()
I'irarti uaLrgc (li.u:r\'t(t tsttis
Thin fi!ms clci:irrt'ul Pr,,ircrlies (shcet rc:istanco)
'l'lrin tilnts optrcltl propcllies {Re1'leetivity. lransnlls\ron. iltlcrlilatrrrn, rellir!r1l\c li)d('\i
-
\ i LL-I('l i{ONI(' i\.', iR[
\11:NI'.A I iON
I Stnrnr uaLtgc
i Sirrrpiescrvorru!l)alrsui
3 Tcmperatllre control
-1 Coincidence cir e uits
5 Multiplexer
6. IEEE 488 Electrical intcrlace
1 .
Single chanr-rel alalyzer
' 8. Differential voltrneter
9. Frequency synthesizer - Signal generator
I 0. Silicon controlled rectifier - chaiacteristics
I l. Silicon controlled rectifier - Power control
VII DIGITAL SIGNAL PROCESSING
l.
2.
3.
Write a MATLAB program to plot the solution oiselected difference equalions like u(n): x(n-2) + x(n-l) +
x(n) and u(n-li2) y(n-l): x(n)
Compute and plot the correlation coefficients of discrete t.ime sigrrals using MATLAB
Compute the convolution of two discrete time signals and plot using MATLAB
V
l(;
.l
FinJ the lrequcnel of tlrc gircn tunrng ftrrL !r.. iire
rcstrlution using dilllrcnt \\'irldo\\
iilif
spectral ana[.vsis nri:lltu.tl attt] chcck the ficqueil.''
ir-rg tnetherds
-5 f)cslgn an FIR lllter t-y usinu Filrcr Desigl iqrrlbr;r rn MAILAB. Analvsc lhe stabiiitv
urr
\IItI
using polc-2.-;'t;
al vsis-
LASER AND FIBRE OI'I'ICS
I
i
Optical fibre characteristics (Numerical apcr-iur'j. altcr)uation ard bandwidth)
Optical feed back circuit (Feedback factor, ci]in and lrequency response
Reference Books for PII\'3(15
il T ltirrrt'- Advancctl ['r'ur:re :r] l'l-risics frrr students Methtts.'n & ('rr (1950)
Smith - l\4auuaj rri'crpcrinrenfs in applicri Plrvsrcs - Fluttt:ru'orth (1971)1
Duulap - [ixpcr inrcrrtal Plrysics Modenr nrclhrrds ()xfbrd Universitr' ['r ess (l 98tl )
l\,llilacara (ed) Met]ro,ls o1'cr\pcrrrlrcr)lrrl i)hrsics scr:es of Volumes - Acldr:ntic l)rcss Inc ([93lil
Ii [
I
l
-l
l:
It
4
[)
';l1,i
& PHY 405 :
\\'orsnop and
\'
A
!ji
\t_srl'
:ir:)
,t
!l!l-u
:i.
iil'-:
I i-El.
lt,it, : Irifrrnai evaluation trr i;e riolie ill tlrt, r"esirrr'lr\( \clrest{rs and rnarks trr l-re illtitttatcd fo the rr}[]tr5!l+.
i-,r!(i +l rach sentestc! irse[i Fr-acii.^ai obsr,:'r rgitr-i :rr:ok fo be sulirtli(tetl tr, the lt:iminers :ii llr: iit:i,
r,i'.ir:r'.o,:e in t:rch se:ilerii,rr ()r:c na:'k ir iri bl.,:t'iitit:cG i'ronr internti nlit:-l-is-i'1rr r-a,:h :rp.eri::reI): r!,r:
rir)tr(-[r\ the student if the rcquirctl iotal no ol ii:.prrirnentli arr not done in eiith seniestcr.
:ir ii:c
,\D\/ANCED ELECTITONTCS T OR PTiY
F'ORTRAN PROGRAN,I}I ING
PHY 306
1
r'
'nirrirurrnr ol l--ight
.107 -
)
rrprritrrtnl: ic
he
-.,tD\ir{\('EI)
EI-ECTRONICS
I
ttrrltti ',"t:
9.
\ olrllt rcgtrlation LLsLrc ()j',\|'llS(finrl r,ril.-tgi rr'grrlrrtrrrrr r'ltaractcilsticr L\ I'rJtl rcglllt.rtiort)
l'rccrsron lcctiiiors ilall r,.avc and Iirl] watc iirt srgnais oi'rri)li t,olt rarrgc tLsing OPAMI'S
Astable anil rnonostable inullivrbrator-s using ()['AIr4PS(corlpare the lieqrrcncv of astable ivith thcorilical
value verilv the rnonostahl.'operation and deterrnine the pulse width )
t-rJT controlled SCR relallFind rhe 11 value of UJT using CRO Compare the calculated delay wirh thc
experimental valrre for di11-erent R - C values)
l-ogarithmic amplitier using OPAMPS(compare the output u,ith lheoretic:rl r,alue)
l(') porver amplifier - porucr gain and iiequencr response
Binary counter using digital IC (sho*'that the IC behaves as a true binary
Active narrow band & band reject filters using OPAMP(represent graphically the filter characteristics fiom
experimental data and compare it with theoretical value)
Decade counters using digital lC( study the counting characteristics & represent the output wave forrn
10.
A/D converter using Q/A converter
;
I
3
4
5
6
1
8.
graphically)
:
(use 8
bit D/A converter and convert the given anlog signal to digital
sigrral )
I t. Syncbronous Up/Down counter and divide by N counter using digital IC
12. Realization of gates using Universal gates using \C14OO &lC7402
Astable and monostable (construct astable multivibrator for different
13. Multivibrators using NAND gates
frequencies & measure frequency. Constmct monostable for different R C values &measure pulse width)
-
J
\
to the coiltrollcr
nrcsters and nrarks to be intinratcd
at the time
eratrtincls
thc
to
book (o be rubmitted
evaluation
ach semest
each semc
dent it the
(ccl
lrt)l
from internal marks for cach trpcrinrclrt
ents arc not done in each semcster'
to be)
onlv for familiariz'ation' At le
(Al
NobeirsedSrrllroulines/FunctionSoll)l.tsthettseiitr,l..etcr.er
c gcneral' with a possihilitv to c
rcq
rrlations tot nrorc thitn onc
dat
PART A
: ('l'o bc done for familiarization onll-)
i;t"Ii::1,:l!:;:'
laigest
Arrangini,,unllle
3 [)et-ernilrring ntezttl llnd
2. Finrling
.l :l,l
j
I
:.
I
il
s
or.
ivctr
dt.s
rc cquarrorl rirr vari.Lrs sels
nrhcrs
o,'r'.l.cs ,,r'rhe e .crlrc
cnrs
rdcr
stzrndard dcvirltirrr
! tl;ll l"i
k i ttJ r r 1- st iltJcrtt :; I il'\ilill
J
l)(:. tilill.rs
n,c I l-tra,l.tgtr intorpcl irt t tll Pol\
l:rlt.'tt :i) lill'I: 'l;il' lh''' tlrl- ''l 'r.ti: ncti,,rt si
I SF
(lit,il.'iltlrnr:, l,r lrhrain iltc:i' t""rrrJI inr-ercept h; line ar
: t)sing litt st-ric'S '\lillsl(!tl
lilttcliirrts
'r'lli
I
i
ctcttil-t
Be:s:i
tioil ,rf nllult'lrriiiis
11'tl:l l'!
r:
b
5
(,
a
i
iirlrri
.r-..r:ric.Li.
lc:
1l S,,'1}.i1,tt s :ttcilt,,.l
rvlltr Iiryltst:rl Illctllo(1. tnttlitrtttLlt iif i ItLltcit'til
verse- ciEer, r aitte Prollletrl
). cos(r). log{x) arld txp(x)
3
9
ttir tttethr)d
r ustnr t;ttldt:n1
It,
ll
Ir
tl
i'l I itvlor sctits '\piinsl''r1
11111nbcri
Ordinarr b(rtiriditr) r alue pt'oblem
atltl cit-'sl il'rtil liles
6p".r^,,i,,* t",,h t,il,t'' llLc':To 'rpeti icittl' irttic
IVth SE}IESTI]R
-lie
e respective semosters an-d
marks to bc intiniatcd to thc controller
tlr the exatninet's at thc tinrc
l*^-- i^^, t^ tip suumitted
srrhmitted t,
rer itserr. ,.r.".i,'iilll',.,';ril";;;u;o
for each experinrent not
nlarks
is to be J"ar","a from internal
of viva voce in each ,"-"ri"r. one mark
in each semester'
no of experiments 8rc not done
done by thc student ir tt.'."qri..J total
PIIY 406. ADVANCED ELECTRONICS
(A minimum of Eight experiments to be carried out)
memory unrts
of lft x ]{ Random access memory with basic
i.^;;;"i;;,i""
2. Shift register using IC 7495
3. MultiPlexer using IC 741 5 I
II
U
i5
J l)r:todcr l('lii.<)
i ['lo!ranttttttl-e t!ill]g S{)3-5 - Basrc.'sin!le h-rte lrrLi-,nrctic ( arirlrtiori. slrl-.rluriri;rrLrsinu X055 (rt
f, (ierrcratiou of squlrir- uarcs usiug i(()E-i Krt
I J)rorntrl to itrraD-rc a serres of numbcrs rrr asccrrdrng iin(l des(cr)ding o!-drr
S ,\'lultr brte addirion and subtraction
\leusurclncrrt ol ticquency using miclufirot
')
nruiliphcritir;n
essur
I \4casurenrcnt ol' r ollage and currcnt usine rnicrtrprocessor
I I L'odc eonvorsron using dig'ital ICs (Binary,to RCD, BCD to binar_v-,. BCI) to l(i's
!l \lruostable usinrl ICs 74121 i14122 Re- triggcrable & Non re rriggerablc
I
ir:i dirision)
(
complcrncnr)
1-l [)csign, colrstrucLiorr and tcsting o1'microprocessor based lrcquencl,mol:toring unir.
1.1 I)esrgn. cor']stnr$ion and tesiing ol'nricnrprocessor biised temparature ltonitoritrs unit.
i
5
i)csign, constnlcli()n and testing of'rnicroprocessor hased rr\ cl voltirge , Lrnder voltage and crrrrent
ptote clron unri.
llcf-ere nce Bookr^ for :
I Paul B Zhai rrttd
{ P. Malvino - Basrc f;iccir-<;rics - A l-err Bock l\4anual- JMl{ publishing (1983)
I \ i' \'l.rlrrrro llusic I-.lcclroniei 1 terll;ib rtrlintlri I at:l \fc(lrarr liill ( I992)
I ii li . ,i, , ' : ilr,r\1ll i:ii.ellr,t.r]ir lq,; f i;, r, it,ir ir.tL ,.. :r,t(l ircLiri. \ir.,,il litiai-t'tlii:r;iriii
SClicr
!'!l'r -iU7 - _l'i " i-.L\t;t.i-,\(;E - B-tilC SI\{[rl.-A.!'1('i]\S iN PI['r Sl(.S
\rit: !:llcr:i:'l t"itlttaticn to lre cJone in fhe resireclire \cliir.st(.rs:::-til rtrlrks lii hr iniiri'li:irC lrr iht,]rrrigIL]l:e.r
I iitt t':iii iti .'atir 't'itrcstt! itse!f, !)L'l;ctrt:ri Iilsairtiili, llr,,r! !rr i)r sr.:irr;)iit*t! iti ttlr,'<l:rittirret's:i thc iiEir
',: i i\,. r ri'.': iIr r2ie :! \:riiester. ()ttl rri:rri.: it 1;. ir'.' r!riiue iecl i;i,; :i:t:t:;rr1 +tar-\s ir;r ':::r-t: :l;-,erilr'!e:=ia tifl;
tllrrt<'hr ih('siudent it"the rc<;uircd rotaI ncr rri ,rrnr'rinrcnts *rc ni)i dorie ilr eac[i scll*stt:r.
1-:
\t ic:i\t I prrrgranrs fo be doneT
irotc: '\ll simtrlalion programs should gire graphical orrtputs. Lhe calculated nurnericai rcsults also shouid
iit ritrtpui iri the graphics scrccn. I hc '!'tillB(i L pae kage (\i'!ndou s) or Linur cali br uscd for gcncrating
luiid contpiling the source code a*d lo gencrate the crecutlblc cotle. -l-he built in graphics can be used.
\i hererer ptissi[rle- the randoi-t] nufltber gcncr:rfUr crir! be uscd- For rrunrericai integrutions and solution of
rlii'lrr-critial euurtiorrs. Sirnpso<r's !!tcth1)(i, Fr,r:nge nufta inrlhard zcd VIilnc's uririhud can tre ased.
ilcr:r'r:rtion ot the gr-aphics Dl()ts sh(,r!l{: ]]]2tlqg]l!l1: i-rura-t\ b\ using fi:r tinai analrfieai erpressirrns alaruc"
1
iri;i sitrrriirl
rtlsc inr olve tlte actual
nuttrcriiai L-rl,:edul-t
\1
Ilcr('\er
E:()ssiit!r,
i Studl oi'rnotior oia
in a cerrtrai lirrcc lleld b! conrpr:tcr cxpenrncr)t
'fo plot ilre trajectory nartic[c
ol a particle ntoritt-e in a CoLrlonrb llcld (Ruttierfbrd
scatlcring) and to detentrine
Lhc
Jctlection angle as a funcrion ofthc impact paranletdr
2 Study ofscattering ofa heavy ion b_y a realistic nucleus by conrputer experiment
To plot ihc ir-ajectory of a healry ion in the' cornbined Coulornb and nucleur potential of a reali-stic nucleus and
'deternrine the angle of scattering fbr ditTerent impact parameters
.l Verifioation of Kepler's laws by computer experiment
T,; plot the orbits of planets around the sun and ro verify Kepler's laws (logT vs log a plots and coustancy of
aerial velocitv) - mass ofplanets, semi nlajor axis aDd eccentricity oforbit to be provided
4 Generate phase space plots To plot the momentum vs x plots for the follorving systems :
i) a conservaLive case ( simple pendulum)
ii) '. a dissipative case ( darnped pendulum) iii) a non linear
case ( coupled pendulums)
5. Simulation of the wave function for a particle in a box
To plot the wave function and probability density of a particle in a box; Schroedinger equation to be solved energy of the levels to be msumed
6. Scattering ofa wave packet
To plot the time development of a wave packet in scattering from a given potential (potential hill and well) by
solving Schroedinger equation
7 Simulation of a two slit photon interference experiment : To plot the light intensity as a function of distance
along the screen kept at a distance frorn the two slit arrangement
--\
lIlr'l
,\ ii)rrt,illi,rir,ri'l ll ,l\i:r,):l,,ir !r,!ii;.!aliililr:li.ititt.l ,ri rjllir I "i.],'.'
ir'I'r\tl'.'ririr'
'rii:tr'rili
,r\ lilnett()il\ {)l !ll(t(1uni ail!trl\ i!l .! srludlc [-attttt. .ltt l]-:\tllgrl ,:.:-.,:,i ;:!l.i .ril lrl.r;i'11 ii,''l:rrrllr i'rl;!('i
bJ
.oiiltr()n r)l S( li! r)r'rl!rlIor c(lttiill()l]
I1r Il1r! 1111 l)ril.l\ll\ r 'ill(l
hirrdirrg })ittittt)cl(t\ .'l,l.ii. i,'tl.!ltl)t:
()f
valtlcs
rcl.rIlii\c narl\ ol t]tc lolel)llal lrlr rarttrrts
Plllllll'l('tcl\
l0 ( ttntptttcr stlltllattolls pl srrtall r)SCillations ln stlllplc lltr)lr-tttlt': Iriatr.ttlte tltoltrrtjc l()r \.rll(rLl: l)rrll(l
()
Srrtttii:rtr6r':
('l i a1!lar(l I{)1c\ Ir{)taltilrl.
eonslanls
(') \\ k)
I I ('oulpuler sinruliittot)s 0l'lt)-ll) Iattice vibr;rtrolrs : l() Plol llrr ciislctst,rt't rclillions (
('ornputer
ditlrcnsiolls
and
\\'alk
highcr
in one
sinrulalttrtr ol'ritnd()rn
l2
fo plof fie trajecrory ola parrrcle undergoing raudorn Dr()ti()n ilr rrnc antl l$o dttttcrtsiolts tttttlcr the itlllLti:n,
lilrce aud to calculalc thu ntcarl sqrlarc distance
Studv ofdistrrbrrtron on N particlcs in M energy leveis fbr panicl.s obertttg the thret it;rtistlc:;rt rlitiercttt
l4
tenr perafu res
l-5 tiomputation ot-ririal c()elficicnts for a given potentral
r nteerati on
|
6
: ( alculalion oi-al
and a2. potcntial plors ( nttnrcrrcal
)
I-ogrstic equation- hiltrrcatton dttr-qranl
lleference Books
:
I "Nlastering l-urbo (-". Stan Ke Ilcl' Uootlc, BI'll I'trblications. Ncu' I)clhi
2 "C'ompLrtational l)h),sics xn intro(luction". ti ('\'urtna. I'K- Ahltruali;r rrnd
Irtcrrr:rtional I'rrblislt,'r
:
t of it
i
,r,--tr\Ljt..,l ,)r1,,;, ,,
.:,
i,'-'.i
s
- r, .. r; i,)l(
I i, !,,,liiil
I
i
i!(
\\
'-,:-:.i,;
-i:
\
itl
'. _ ,l
,! . i ,,1
,
ll'l
K (- Sh:rrnlir-
\('\\
'\.qc
',r 1, lr:
:
':l;
ii
',r i'\sril-l-i,'-:ltii'llrlll i'ir.'' 'rr:"jr
I\\, l.iltir;,i-(i
"'rr;';" 'r:i"r
lii il,ic )\tliir(ricilj ;rt.'tlririj-.,rtjriatcilllLi .lnl!l\\:5 .\1.':i:l'\ i'lj:rl')sil
\
li (iolrid. j irritrrt:hnrk ..\1; Ur!rrrtirrcltUt) t(,Cr)tttl)irl('i \rilr ri,il)ir,r irr(',irr'(l: \:)l:ii1,li;r':'' i1t i'llr' :i :l.'rll'
Ir:r;ts i .t I \.j,lis,,r,\,\ csir.,, r lrjSS)
; i, i-. irirKtlrilt :irrrl l).1 .\!'\rj)t.tri (-ltililrli.tiri'il.lt -',i ;'1.1r;.5 ';l i'i;r:: : \,i1, ll i "i,:r i )l-1;. it ii,rrrlri,:: r( l,,,rrir ', i.i r;r ' : ,'l -'"'
l(i -('rrrrsrrrliLrlr) l()t !,ippcr r,j\i-:i irlt\srcs Sofirvaroi( t rj5,
"i
.,
;1-'117.1;;1j
199-i
I.fl_IlZ
*P\','nloN" LAN(;ti,\(;E
Noft,: !nfernal cvaluatitrrt (o hr rhrrrt'in fhc respcc(i\c \rrrrcstcrs anrl lttrrks lrr hc intintaled to the ettttlrJll0r
al lhr rnd ol each \ernestor iiself. practical rrbscrralir)ft !t(ii)k to iir sitirnrilterl to lhe c\nrlrilltl-::tl iilt'liiIr('
rf viva roce in each scmrstrr- Onr ntark is t0 he rlcductcti ij-itttt i:t(r:rlilt] m:]!'ks li]r r:tcli crperit:]{'lrI l!{}!
done Irr the studcnt it'thc rr:quircd totat no 0f erpcrintenf s a!-r.' rr()t rlonl itr t'ach s*nrcc(cr
sDecificd- onlv trvo nced bc done.
I 'frajectory evolution : a) I,rojectile motion $,ith air resistance, b) Tra,iectorr.'olPlanets arortnd a star
2 phzise space portraits : a) Hairmonic oscillator b) Dantped oscillator c) Forced darnpetl oscillirtor
J Classical scattering problem
4 Electric and mag,n-itic fields a) E tleltl fronr a 2D metal prism b) rnagneti( lield lionr a currcr)t loop
c) magnetic field fiom a straight u'ire d) 2D vcctor field Plotter
5. Monte Carlo simulations
(.aiculation
a) Unifbrm random generator b) Gaussian random generator c) Exponential random generator d)
of the value of tr e) Numerical integration of I D
6.Randomwalkproblem:a)Brownianmolion b)piffusion c)Percolation d)Diffusionlimitedaggregationin
various lattice geometries
T.Fourier transform method a) Discrete
F.T. b)
Fast
F.T.
2D
8.Stationary and time dependent Schroedinger equation
:I
c) Power spectrun of a driven pendulum d) F.F.T. in
D and 3 D
g.Applicatitns in Statistical Mechanics a) pair correlation function b) Auto correlation function c) lsing model
\,
-:i;
:irnttlatiutt
ti )
NlulccLllltr,it ttllttltet rl ll)LLiiii rt,ll
ln addition, an! 0f the sinrulati()n prograrns gir en under "C"' language also can
be
carried oul using
P1
thon'
Rel'crencc Books :
I Plthon - F.ssential ret'erencc by D N,l Bcezley- l)earson F-tlucation (l'd E.dition - 2006)
2 L_ore l)uhon Ptrigramrnir.rg - \\,J Chrrn, Pearsun ljducatiOn (Sc'cond Edition - 2007)
PHY,108 PROJECT
An cxhaustive lrsr of pro.jects s,ill be preparr'd and nmde rcadv by cnd of 2008 A sarnple list is eiven belorv.
l.Design, lirbrrcation and experinrenrnl stLrdv ot practrcal dcrices Lrsing tirndarnentai principles
posirir.u sensirive Singlc \\ irr: Propttnional C()unter, to calibrate it and use
I To cirnstlrct a
it tbr
rclcvanl
experi mental measll renletlts
on
3 Srudy ttl statistics oi radioactivc, courrting - using GM countcr and Scintillation delector - Depetrdence
couDt rale, ,listribuiron of pulse heiglrts ctc
J Prr)lccts trsilr_{ I)hi,crrir K-ir ,jerclop,:,j irt tl). lntcr [!rtivcrsii'. \c.r'l(rator ('enlrc. Nerv !)clhi
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I6.]-heorctrcal sluti\ ofcltrtnttci ct,uplirrg.'Iii'cts irl Iteavv totl lirsiolt
i7
Studi(s t,tt ilbte optie cahles
i8 Studl'ofterrcr & tcrri eiectricill ll)aterirlr
rrs
i)lenlorlcs
!9 Sttrtll rtf nlr,ttr-r aL'oustic lnaterials
l0 Studr () l' tltasnc'l osll'iLl 011 illl(i prlleli.:;ri lrDpl i euti tlrts
I I Erpci-inrenral studr ol :tl-cantlinc(l ii:tJ lilil,uicut ilrlrr ,li licltrirls
l2 l-ahrication atr<i sntdi i'i ,rofrtrrics' cri cr'':irlis
i
-
23 Rarnan e1'lcct studY
24 tlaterials analysis b-v spcctral studies
25.Optical fecdback circurts and cornpanson ',vith similar electrouic feedback circuirs
26.Conslruction and studl' of a Single Channcl -{nalyzer
2T.Constmction and sttldy of a strain gatrge
28.Constnrction and shrdl'of a optical nrodulator - demodulator svstenl
iiicri.-,.;r;' r' )., 2lti)iiiirinrn;
j'll\-lili
Tirne: 3
\i \i ji,',i i, i('\i. l,.l[\$ii':-r
iioui-s
Marirlurn:B0rlar-k:,
Stx'Lirrrr,\ ri':
.a
:ilt tlriu'kst
Glve short paragraph answers for any two questlons from each module.
f
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SECTION B (2 X 15:30 marks) - Answer any TWO question in about 2 pages
U fr l"S it turit lt{ar-ir i:r flrr:. rlfu+i'ti<,rL ,:rf illir<tl\ill+ g, ,rr, ti'r,' ilur[
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Time :
-1
liours
Section A (10 x 3
:
ii-4FEii
AND PL.ASir!.q
f,r;'::li's
lvlaxirnunr
Xtrr:ra;
r...r,
30 marks)
Give short paragraph answers to any two questions from each module.
l"
(a) Write Maxwell's equation^s irr integral form.
(b) What is the acivantaee of using phasors?
(c) Explarn
retArded scalar porenrral
Whar do you mean by dispersion?
2 (a) What is group velocity?
(b) Explarn intrinsic impedance of free space. What is the consequence of intrinsic impedance beconring
a
real
number?
(c) Describe Doppler effecr il4enrrcn one of it's practical applications
(a)
3.
Explarn characteristic impedance of a line
(b) What is the dominant mode of a wave guide?
(c) Write a note or cavifv rescnatois;f
-i IEI l)csr::r,
,,,
',
:
i'-..*1..;..
,..
ir'i
i.Iirihii:
.i
' rirr.-rrr 'i.-'..:ir, '
'.
il
.
,_
l.i ii !ii1,
:lil- iil.;.
(a) i:xplair i)eb'. c
(-b)
.
:,.:1
. .i.
,.
srlrcii.li:.1::
\\'ital aIe tile a,-)rl(i;tirlrls'i]-i,i
lC) W:hai lir(l !l,1ilgllai,)s{)r')iil:-,,
,rjr rr.rrtizcci gas
lr.rsi ::airsfr io
be calicil as l,iiisr,ra'
:
{2 x f5 :30 roarks)
Answer any'fWO questions in about 2 pages
Section B
6. Write
source free Maxwell's equa'ricos" Obtain source free wave equatioos for E and [1.
7. Discuss the normal
lncidence of olectomagnetic u'aves at a plare dielectric bcundary.
8. Discuss TlVi waves i1 le6izngular '*-aveguides. WLat is cui-ofF',vzivelerrgthi'
9. Discuss the motion oi'a chargcd partrcic in a unilirrm ilagnetic
a uniform electric field is also introduced?
-Section C (2 x
fieid
Wirar change in tire rrajcctirn :s rxpccieci
il
l0 :20 marks)
Answer any TWO questions.
10. S6ow that
if (ErE) are solutions of source
p then so also are (E',H') , where E': nH and
free Maxwell's equations in a simple medium charectarised by e and
E: - E/q. In this equation q ilple; is the intrinsic impedance of the
medium.
I l. Find the Poynting vector on the suface of a long straight conducting wire of radius b and conductivity o that
carries a direct current I. Verifu Poynting's theorem also.
12. A hollow l66tengular wave guide has
wavelength for the dominant mode.
I
a: 6 cm and b: 4 cm. Determine the cut off wavelength
and guide
3. Obtain continuity equation in relativistic tensor notations.
ft3
,ir'I'AilF:,\
: i)i)liacin:-r )
r.
Stti;+;r
-1
{ii;
iech anics
i\'i,1.\
)r 3 .=
-it_i
r:,,li^.
.'
marks}
Give short paragraph amswe!.s tr: aav t.*,s questions
frorn each module.
I. (a) State and explain D,Alembert,s pnnciple.
(b) Show that arear velocity is a consrant
in centrar force motion.
torque?
(c) Show that the Hamiltonian is a con-stanl
of motion
2 (a) Find the poisson bracker tL^, Irj
if
rhe
w,l
it remain a coDsfant if there is a net extemal
I-aerangian does not depend on time explic:irrv
that c is antis).nrmetric
bles are lurear functions of lime
axis of rotation and w is the aneular
(b) Show that the aa
(c) Explain with nec
4.(a) Explain the me
' -:,.j.
.
.
i,
ia ) Flxniltirr
I
iitl
r1,1,. _,_.,
n is the
thg seq
and rotating coordinate sysrems.
ibrmarions that dehne the Euler.ngres
a! mocies of vibration.
coordin
;
j
:
-
ihr ierm stroilq(, ilili_iii.i( r
o) 1!11ai i,, 1s.;nO cii_-ubl;rigl,
.-)'+'irlli
.;'r' r.i,,.1 irnrlCrstl:1.1
lr
l:.;i..g,
;1.i.,;,1 :.,:,
Secricn R
5'
i2 x iS:30
rnarks)
Answer an5,.I\\rC questrons in about 2 pages
Derive Hemiiton's equations of moiion.
obtain the llanultonial of a srmpre pendul rm
;;*l};r1TilLt"fff:"
:rr-fi#l*'s
with
a
moving suppon.
of twc variabies Discuss its rrnportani oroperties
and sho,*, ttrar it is invariaai
equations of motron tc obrain a ro;apiete
scjurion oi the probiem t
f free rotation cf
u-urier a
a symmetr:cai
9. Two identical pendulums are coupled
by a slcring of force consr4nt k. Show that
the frequencies of oscillation
the system are (,); = v(g/l; ana .,, :v(g/i *
zw^-) where / is the length of the pendulu*
Section C (2 x l0
i,nr.".
if;i"fi1]?i:Jlf"T[::,:l:j'""d
il'
:20
-a-,i-r.
of
the mass suspended.
marks)
any TWO questions.
with an rnitial velocitv u ar an aagle o to the
horizontat obtain the Lagrangian
Forwhatvalues ofm and n do the transformationequations
e:
q'cos(np) andp: q-sin(np)
form a canonical tansforrnation. obtain the generating
function.
12. Using action angre method, obtain the frequency
of a simpre harmonic oscillator.
13 ' Find the momehts and products
of inertia of a parallelopiped of densify p and
mass M with sides a, b, c about one
of its corners' Hence deduce the inertia tensor
for
*i,r-r-rra"
" "ru"
".--^
h+
\
MODEL QUESTION PAPER
(Revised syllabus - 2008admn.)
PIIY 104: ELECTRONICS.
Time: Three hrs.
Max: 80 marks
Section A (10 x 3 : 30 marks)
Give short paragraph answers to any two questions from each module.
l.
2.
3.
4.
5.
(a) Explain the self bias technique employed for a JFET. How are the operating points fixed?
(b) Draw the circuit employing a typical JFET as a WR and explain its working.
(c) E:yplain the design and working of a MOSFET NOR circuit.
(a) Wliat is tansferred electron effect? How does this effect lead to negative differential resistivity?
(b) Explain clearly the lighr emission mechhnism in LEDs. Mention one material each, suitable in the
visible and I.R regions.
(c) Discuss the light dependence of resistance in LDRS. Construct a circuit showing the application of
LDR.
(a) Eiplain CMRR of an OPAMP. Bring out its significance ia circuit applications.
(b) Explain the term 'Slew rate'. How it is experimentally measured.
(c) Write a short note on Eole-Zero compensation
(a) Draw the basic OPAMP integrator circuit and show that the crcirit is able to perforrr analog
integration.
(b) Compare the low pass, high pass and band pass filter characteristics.
(c) Draw an OPAMP monostable multivibrator circuit and give the expression for the pulse width.
(a) Draw a mod 5 synchronous counter circuit and represent its ruth table.
(b) Explain the working of a typical DRAM cell.
(9) What are CCDs. Give a brief account of any one application.
Section B (2 x 15 = 30 marks)
Answer any TWO questions in about fwo pages.
6. VI
7.
8.
9
Discuss the tunnel diode operation on the basis of energy band diagrams for different biasing .
conditions. Explain the nature of the I - V characteristics. Give a brief account of any one application.
Discuss the design, working and circuit analysis of an emitter coupled differential
amplifier.
Discuss the design and working of an OPAMP astable multivibrator. Obtain an expression for the period
of the ouput wavefomr,
What are Karnaugh maps? Explain how a four variable SOP function can be minimized usiag Karnaugh
map technique.
Section C (2x f0 = 20 marks)
Answer any TWO questions.
10. Determine the voltage gain, rnput and output impedances of the given circuit. Yo, =50
and Ip5
=
pS, gro:
5 mS
Ips5/2.
+I5 V
o-----l
(P.r.o)
\s
1l Calculate the photon current and carrier transit time for a photoconductor from the following data.
Quantum efficiency = 75%o, number of photons reachiag per seoond: 1010, mobiliry = 3000 cm2/v-s,
effective electric
field:
5 KV/cm,
L:
10 pm, carrier life time 0.7 ns.
t2 Calculate the magnitude of db gain at various arbitrary signal frequencies for OPAMP 74lC assuming
that it has a single break frequency at 5Hz and open loop gain : 200000. Represent the salient
characteristics of the response graphically.
l3 If the inprrt !1 in the given circuit is a siausoidal wave of amplitude 6V and frequency 1 KHz, represent
the ouput wave form obtained across RL showing the correct phase relation with the input. The output
voltageswing for the OPAMP is t 12.5V.
-l
i
I
Calculate the photon cur..ent irnd
f phi,.ior:s reachrng persecond - i0"', mobility - 3000 c,rt. \ Quantum efficiency - 75oh, num
effective electric field :5 KV/cm, L J 0 ;rm. ca;-rier life time 0.7 ns
t:
Calculate the magmtude of db gain at fi ious arbitrary signal frequencies for OPAMP 741C assuniing
that it has a single break lrequency ar 5H
(rpen loop gain : 200000 Represent the salient
characteristics of the response graphically
13. If the inpUt Vi i-n the given circuit is a sinusci I u,ave of amplitude 6V and frequency I KIlz, represi'nr
the output wave fonn obtarned across RL shov
the conect phase relation with the input. The outpur
voltage swing for the OPAMP is i l2 5V
3
6K.
, ,i ;l- i_ r rl I ' i li ; , I ',,,
. i S l ti r,jl;-
l' i'r -:Lr1 l\l\illi_'t
(],'
,
:-., ' '. '-t'ir t.riri ri i,jl) --ir -
.'\ect
ioir
i
,ir
l
A
trt;tlJ.-,sJ
Glve short paragraph answers to any
two questions from each rncduie.
.
I
:::,1:
.-;. rl,rl,iii \\'ltr
5 ' .r.1. ; :.:ii: - !- :
i .:,t:t
.t.
,il' -::,r,-,'. rllar if I :
flf
ic
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t,: li:.:,,:
i lii
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.
I
r
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L ,-
jti,r,,,,-,t1,-i,_-t.,,
-,
r
D::irr-e
\:'.-lrrii's
;
E--.:;:,lai,i
seconcl
la*'
fl',-;rr: Har:rili,:,lr's
lrrrilipie ci r.l::
a,.:ra,l
ihe c:iasses ui iitie3ral p( tLiatlutr:
i.ir.r Fild integr-al e(luaiion corresp(tiLcling r(l
iei
d.: u
-- fi
4-- - '
/.t,.'.
suirject ro the corrclitions ai u(t - 0) : O (+ )
: f
\ cl.t: ,l ,_o
(c) Enu,erate the p,operties of Green's functio. of a self-acljoi.t ,:iiffereniial
tcf
c,per.a-
l+'l
.A
)li
:iil-
il
O
T\i
Art\r
ci'
Ailss
1)
k:)
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t,lilt -r rlr r: jlI ab()ui : 1r'-tgt'-'
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liiLl'i:-; 'I ' i ilk!: ( ial''' i l ''ll:it'aitli:
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I
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r,'r
C',(r-rl1,i
lEii PRo(iIt \r1 ,i11..i,
Section -{
(1(lx,l:.ii)rnarks)
Give short paragraph answers to any two questions from each module.
i,ll El.;rl:,itr"
tlrr,r'O1)\jet-ge]I(,o r.1.;rr.i .,i,
,,i ifita: jii
1.,1.,-:r.,j;,,;
i'b) E-rplzrir ilre nethocl of i.ri.ser.r;,.r:, ir: irrrcl ihe r-c,ot ,f rr frrrrclir--,rr
ii I Dei'r.li,t',;t, jl,,:-a.ii.,-e fi,l.iiit,t.
.,:,rr,:i-.,:1,,,;;1,,, , ,
r,,,rl,-i
)' (at Clive a irst, oi arithntetic
ib;
oj)elaL(,r.r
il.rii
f.irli r-i.,r.r(
i,.-1
.ir..(' ;ir Ir i)FiLti-.. .,.
L-xplairl the rnethod c,f creaiing arrrl o1.,ening a .lara irle rri f
(c/ Eramine rhe ,se of r-oR.r,I.4r
*.iaLerrerrr.
i,
FORTF
rli
r. ia) \ame arrd describe the foiir- l,,asi,--. i_r.pes of cr)nsrani,s il
C-iauguage
(b) \l'hat is the pllrpose of the functior putclitLr(.) llor,-is
langriage?
(c) Corlpale the use of the stuttih
\lrhich is tnore conr.enient
stat-er.rrent
ri'itir the
t'lljlIi..{\.
use
it
rised
irr
Cl-
ol nestecl if...else.
.7
\+i
r\
Ansu,er
-*'g1 arII
ar
,,^ .
,or,.'l,,lll t:*'
o. Deriio
.,
Section
B
t+"1;l']'11*'t"uo
*q-oLro,s
;iiilll,;:i,;
8 rlrrat aie
/.i
in about two
^,^-.
,*:,:l,,,lJi:xi1,::
r;[*:#ff,,,::.::,,i::lJj
;;'l?1i';:li:T
vu'/'
js lt
-
,;.orrru.rl-u"-uilotttries in FoRTn
4 \-.2 n. _
''"'u ont **uuroi."#;li7
Differeatiate
9. \,r,hat
'-
n.'e sil'uctuies
u
a.raJ's.
c? Gi'e
orre exaarp.re.
section
Pages.
'ott'
din'e:en-
difereni
betu,eea
--" functj
rqrrctroXs
ard sub-
co..^^lornpare
thern
vvtLr' unions
"' rvrtl:
c (2_7ifo
xrrr _ ,_^
.r.su,e.
;#ilJI,
uul
al.le..t lr:ots
orJ.
of tlle fu,ctjon
r,rng taDLlratec
O
and
f
(:t')
= r;sjr
e,
*
cc
cos?.
usjng
.!.i,rri:rs
..., a/lo
&lrd.r]^..r
ca.lcu.late
c
the slope
a?r,4
.-<v e\-
bJ'
5
er,et..i,
tll,o seconds.
js gir..en
bl,
.ulder thu -4
.rru,
SD
\,
l{t)Dri, cll E_i]-lo\ 1r\FER
DEGI1EE E\,\.\IINAT]ON
ERIC].{L TECHNIQUES A\D CO\,IPUTER PROGRA\,IT,,Ii\ G
J\{,SC,
PHY-202 NU
Section A
(iir ;'' 3:.1[)rnarks)
Give short
1
(u) Exatnine
tht
answers to any two questions from each module.
r,,rrrr-
(b)
Erplain rhe
(u)
\\'hat is a dtijei.eiice
cliteiion ,rf iter.ative
ence,
pr-ocesses.
nrr,tLro,i
bisectioii tc, fltr,:l rhe roor of a function,
(.) Der.elop al lf r.rarir-e fo riiit to calr:Lrliiie the crroe root
of a num)tel using
Ner.r'tOn-Raph:rlit lleth
2
tal_.,]e
.
piail., i.,'iil,
(b) Estirnate the t,rutrcatir,n errol.'
1r
(.) Is it possible i c,, irse the for"rlula
function .) If r es,
3.
liitrar
(c) Suggest
t
a,|
a
itrtcr"l>oiatron.
lilreai
acr:ril:-Lcr- u.l't
method.
Brieflr expiair,
e-;ailpJe.
1e,a,s1
hol'l
(") Compare the lei,els of
(b)
a.i.,
rdz,l :letlioc,l and Srurpson,s
rhe methocl of Ci:l',-rssiar,
nte,- j,')(l c,f
inieqratroii
"6.,rre f,t for an exDonetrtial
list of
3
,lLatLl-e for integlation.
if a firnfir
rs er-aluater,l
etvals.
(u) Give a
1
a,-,thr..,etic operators and their p
(b) Explain the lnetliod o1 cr-eiiting anci ope,riilE
,
in FORTR-{\.
ence
.1ot.t
a. uneouai in-
in FORTRAN,
(.) Eramine the rrs,: oI i:OR:\[41 sraielr:r:ur in F(;RTRi
5
(a)
(b)
\ame and clescri lte tiie fbr* baisrc t., l)es of c,r,,rrsta,ts in
\\;hat is the I)rirpose of the fulction pti,tcl.ior(i. Hor,.
language?
(c) COtrlpale
age.
is
tit€ ii:L:t ,rf irrl rt,1ir:it, srateljtpltt ,,-.rih tlte uSe of
\\iiiiCh is rncrle, i oitr-r;ilienf ,
used
neste\
i,f
in
..
C-
else.
t+1
6t
r-r
\4odel Quesrion paoer
\{Sc PFIYSICS
PT{\-203 _ STATISTICAL MECHANICS
Section A. (10x3=30 marks)
Give short paragraph answers to any two questions from each
modure.
1' (a) What is Gibbs paradox. Does rr appear in quantum statrsticalmechanics?
Explain,
(b) Examine the physicai slgnificance of the number of microstates of a
system.
(c) Give the logic behind ihe assumption that phase space is
raade up of unit cells of
volume h3,
2' (a) State equiparution theci-em, Use the theorem to ca-lculate the rnternal
energy of
diatomtc gas at room ten-tDeiature
a
(b) Explain how the canonical panition function is relateci ro various
thermodynamic
functions.
(c) Discuss density flucruarion in grand canonicar
3. (a) Write a note on densrty ntatrix.
ensembre.
(b) Explaln why there are rhr.ee distributron rarr,s. whicn aie rhev/
(c) Evaluate the rotarional paruticn function of a diaromrc gas molecule at high
remperature
4' (a) Discuss how Bose-Einste in condensation is differeni from o;dinarl'vapour-liquii
phase transitions.
(b) Whatis the chemical pr.,i,,.liral
(c) Explain how specific
he
of
protons rn a :"r.itV? Exllain
.,i i,f iiq,:id helium vaiics
How is it different fron, thai of an ideal Bose
,..,'itir
teilptrarure?
gas?
5. (a) Obtain an expression fot.Fermi energy of an elecrron gas.
(b) Explain why all electrons dc not condense to zero momentum state
even at absolute
zero of temperature. \tilrat rs the average energ\r of eiectrons at absolute zero?
(c) Electrons are responsible for both damagnetic and caramasnetic proDenv
of materials.
Comment.
Section B (2x15 = 30 marks)
Ansrr ei
an'rz
TWO questions rn abr-.,ut 2 pages
6. state and prove Liouville s il-i,r,lem Disc,.r-ss dr-r-,'onp ,_onsecLeir-_e
rf
the same
6t
\7. Investigate the energ)
fjuctuations
disribution among the rnembers
ir
a canonjcal en:,emble Also show
that the
energy
of the canonicar e',sembre
;s Gaussial.
B. Explain Debye theor_l,
of specific heair.. whar
rrqt diu
are rhe
rile olilli'ences
diffr
of the theory with Einstein
theory?
9' Discuss ths theor)'
of r'i:-,.e drt.arl -s:ars.
comrnenr
i-r]r
ihe Chandrasekha rimit
Section B (2x10= 20
marks)
10' A
gas has two
indistinguist:ff.rT:.lT,:Ll'o
quanrum states are
available'
iIor,
in the rd
Jevel,
in which three
mart]' .nicrosrates aie pe.ssibre
according to (a) Fernri-Dirac
statistics; (b) Bose_Einstein
statistics? Shorv
11. Calculate the I
,.hese
states in a tabular form,
I.:il:l, ::*fflil,Tj,..,l,:,Jj,,,1, .=
il;,jJ;'assica,
12' ca-lculate the transirion
os
c,,ators Assum
e
harm oni c
temperature of uqria
u"-I rrl,r,o He-II. The morar
iiquid helium ar the critrcal
vorume of the
temperature is 27,4.rr,-smr.The
mas.s of herium atom
is
Also calculate the tempereiure
ar rvhich hali the ato,s
are in the
::ilH:'
" ;_i":;l::T;:.'r,
lor,,,ermosr
can be e.xpressecl
in rerms
.r
rhe can,nlca.r probab,ityp.as
s
\lOlrEL
QL
ESTIO\ P\FER
\l Sc DEGREE EX,{\tiN {Tlrjl
pU\'_204 Otr-{NTL
:\t -\iECI{eXlCS_t
Section
A
(tO x 3
:
3[L urark-_c)
Give short paragraph
anstt ,ers to any
two questions
i. (a) State an1. rhr.et,
t''
from each module.
1.lroper.ties of inner. prociuct.
i;llli:;;rolclinate,epiesentation
(L.O
\(/lL./:
of ket and bra r,s6161s, r,erif..the
r.eration
(c) Explain tl e ener.g-r,_r1nte
uncertaintl relatit,l. Horr- is
p osition_rl ollt
en t
2. (a) \\'h1,should
ullr uncert ainit.
rel aii
c.,it
it
clifferent fioni
.
ririre e\.olurion oper.ator be
,nita^.?
(b) Distinguish be.*'een
Schrodinger.
(c) It r is the Dosrrrc'lt
rieisenber-g- anci interaction
pictures.
operator'
a free lra,.ticie i, Schrodinger.
pictu'e.
the con'esponcij:iq operator. ';f
irr lieisenbelg pic,tur.e.
a
(a)
\\rhat
(b)
List the proper-1ies of pauh spirL
rrail.r.ies.
f,,.
ar.e Clebsch_Gorclon coefficients?
(c) Eraluate tjre
4
courmur".o, I i, 7_l
-..i
L
(a) Shol, that operator
for time reversal is antiunitarr..
(b) Prove that sr-n:ntetr1.
ieads to degeneracr-.
(.)
}r:X5jff,iff:.,1fi.in
5' ,",
|,r:rlffidifferentiai
thr: treatrnent of identicat particles
in ctassicat
sr-:x11s1ing
cross-se*ion, Ho*. is
(b) Explain hon' tire: potetttial
i.nction
it
cler-e..mines phase
(c; \ljhat are the cr.,ricririrrns
of raricritv of.the Bolr
r.eratecr
srrift
to scattering
clLre
to scatter-
ap1,1.oxir:ratior,)
53
,
i,ecticn B 1- :.- - 'i- :.t.rL-i:s)
An:i-,i-er anr.'i YriL) c1irr,s-uions.
[,.
iI
irera ii.] r,. irl.ir(' i'i)-cr;-r'iaria,:r -'l (.i-.,:1-i.lr. r.,,--iranics,Explain mornentuul
SpaCe I'elli'eSFjIitriIr',Il,.ti rr':rr-€:iLt.|a,i i,,Ii
I):>r,Ls;:
; Frllti ariratiir.:i',rl-',iiri.iirir:1.ii,-'lr
ari'-ir.,1
.i.
i-)r1,;,1ril:-i -'r-r:-r':i:rr
Discr:ss lt,t::itlr
lii
p,:,
rt.ti,:: lil
..,', l-. 'i\ii:
ir
r,
ri,:Jteonpaulispinrnatlices.
i-t:p]alrL itutr-sr-trn,etlic and
an'r-i-S\'lll].llei:rl.a ,,i't,i'iltlli.. li'rr:;.2,,t-;1 rt.ri:iiliaJr,l
9. Ci''',: ilre gentr:'::] r., i'r:r' i;;'t, oi- t;r,' i,ai,ii,l ,.,'1i i i,,!3:1r1sion method. obtan an
e}:l-)iessjolr {bl S-,i'l ',.t ;{-:ilLii,trilr'- 3r'LrSS--,,,:i i r-it j it .i i)ilAtr scatte}-ecj b1 a scluare
',r'c:i, pc,ientia1,
{' :
;: ,r..- '1.\I,.(--i C;,.re.
lir l-,i,-' l:-.:i".1,,;:lt-l .i I'i,.:it,l ,,,
i-l . ij j.,r;r ) is t]tc Sr-ii.i-ihrrit,l
,i-i.l ,'
i.
i'
.1
,.', -- _i.'il ,
ic,c'i.tr_;n
,!-r-1 ;..1...1;-.
,.:iL:ii
.1<
-ir
r,, :
ir
ii
rr:.:_, .
:,iEetiluiiitii,-,i, i, ,
-,
1...,
;1S
..;_r ,
f l; hailitr,l:i,_-
, :,-,,., ,!,. plo\;tr
OSCillttiL,i
iij.at.
- -: ) l
|'L I-i:';
t'.i., i.r.1 itt ,, it :l]i,.,1,,,-,'', ,,i. ,, i,,,_,-i-ciitrtt,, ::.. , trr, If it i: iit:a.f.iatft
Und.el
:Ia]tsieticlD, ShO.i i.i .: il t,,,it,,1i.i,,tl-t,1,:t-L,-_,i.,irt,ir, ,_,i lrtaSS Ct,Oirlifrate.
1.3.
Sl-t.-r,r-
tir3:
1]1
,,
i:, .t- .
i,,r
.i t.t:;-
.
fbr' ii pi.iiicl,'-:
::c;,i'.,.,-., ,
,
I i,r t
,tr^t_r,
,.i,1:. j,.
i. I i 21..t -_ '..)
I
pc,i-itlt1_r.il
-i. , ,
l:
..
r,
,-,:. i.)
)