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Test Paper
: III
Test Subject
: PHYSICAL SCIENCE
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Test Booklet Serial No. : _______________________
OMR Sheet No. : _________________________________
K-2514
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Name & Signature of Invigilator/s
Signature: ____________________________________
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Paper
: III
Subject : PHYSICAL SCIENCE
Time : 2 Hours 30 Minutes
Maximum Marks : 150
Number of Pages in this Booklet : 16
Number of Questions in this Booklet : 75
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K-2514
1
Instructions for the Candidates
1. Write your roll number in the space provided on the top of this page.
2. This paper consists of seventy five multiple-choice type of questions.
3. At the commencement of examination, the question booklet will
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Example :
A
B
C
D
where (C) is the correct response.
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±Üâ.£.®æãà./P.T.O.
*K2514*
Total Number of Pages : 16
PHYSICAL SCIENCE
PAPER – III
Note :
This paper contains seventy-five (75) objective type questions. Each question
carries two (2) marks. All questions are compulsory.
4. Which of the following is not a tensor ?
1. Newton-Raphson formula is given by
(A) Velocity
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(B) Acceleration
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(C) Mass
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(B)
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(C)
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(D) Gradient of a scalar field
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5. Let f0, f1, f2, ...fn are known values of a
function f(x) at the points x0, x1, x2, ... xn.
The first divided difference between xs
and xt is
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(D)
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(A)
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2. The value of the integral
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(B)
using
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Simpson’s
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rule is
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(C)
(A) 4.86305
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(B) 2.36205
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(D)
(C) 6.46505
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(D) 5.84405
6. Which interpolation formula does not
give any information regarding any error
committed during approximation ?
3. Error in the Trapezoidal formula of the
order of
(A) Lagrange’s interpolation
(B) Newton-Gregory backward
difference interpolation
(A) h
2
(B) h
(C) h
(C) Newton-Gregory forward difference
interpolation
(D) h4
(D) Gauss forward difference
interpolation
3
Paper III
2
K-2514
*K2514*
Total Number of Pages : 16
7. Relation between two finite groups in
10. For conservative system where the
many-to-one mapping then it called as
coordinate transformation is
independent of time the Hamiltonian
(A) Isomorphic relation
function represents
(B) Homomorphic relation
(A) Kinetic energy of the system
(C) Automorphic relation
(B) Total energy of the system
(D) Monomorphic relation
(C) Potential energy of the system
8. If the Lagrangian does not depend on
(D) Difference of kinetic and potential
time explicitly
energies
(A) The kinetic energy is a constant of
motion
11. The Poisson bracket of any constant of
(B) The potential energy is a constant
motion with Hamiltonian H is
of motion
(A) 1
(C) The Hamiltonian is a constant of
(B) – 1
motion
(C) 0
(D) The Hamiltonian cannot be a
constant of motion
(D) Infinity
9. For the given transformations. T1 : Q = p,
12. The principle of least action in terms of
P = – q and T2 : Q = p, P = q where p
arc length of the particle trajectory is
and q are canonically conjugate
variables, which of the following
(A)
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statements is true ?
(B)
(A) Both T1 and T2 are canonical
(B) Only T is canonical
(C)
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(C) Only T is canonical
2
(D)
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(D) Neither T or T is canonical
1
K-2514
2
3
Paper III
*K2514*
Total Number of Pages : 16
13. If the effective potential energy for radial
motion is Veff (r), the condition for stability
in radial motion is given by
16. The Poynting vector S is defined
as the
1) The existence of a local minimum in
V (r) at r = r
eff
(A) Energy per unit time
0
(B) Energy per unit area
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Which of the following is correct ?
(C) Energy per unit time per unit area
(A) 1 and 2 are false
(D) Energy per unit volume
(B) 1 and 2 are correct
17. A transmission line whose
(C) 1 is false and 2 is correct
characteristic impedance a pure
(D) 1 is correct and 2 is false
resistance
14. Larmor formula is for
(A) Must be a lossless line
(A) Energy radiated by an accelerated
charged particle
(B) Must be a distortion-less line
(B) Power radiated by an accelerated
charge particle
(C) May be a lossless line
(C) Power radiated by an uniformly
moving particle
(D) May not a distortion-less line
(D) Energy radiated by an uniformly
moving particle
18. The velocity factor of a transmission
line
15. The dispersive relation for a low density
plasma is
!
!
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!
!
, where
(A) Depends on the dielectric
is
"
the plasma frequency and ‘c’ is the speed
of light in free space. The relation
between the group velocity (v g) and
phase velocity (vp) is
(A)
Paper III
transmission line
!
(C) Is governed by skin effect
!
!
(D) Is higher for a solid dielectric
!
!
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(D)
(B) Increases the velocity along the
!
(B)
(C)
constant of the material used
!
than air
!
!
4
K-2514
*K2514*
Total Number of Pages : 16
19. Choose the correct answer :
22. Alpha emission is an example of
According to Dirac’s relativistic theory,
(A) Barrier reflection
orbital angular momentum
(B) Barrier tunnelling
(A) is a constant of motion in a central
force-field
(C) Barrier refraction
(B) vanishes in a central force-field
(D) Barrier absorption
(C) is not a constant of motion in a
23. The ratio of Einstein’s A and B
central force-field
coefficients is
(D) is a parameter in a central forcefield
!
!
(A)
!
"
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20. The WKB approximation often referred
as
!
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(B)
(A) Classical approximation
!
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(B) Quantum approximation
!
!
!
(C)
(C) Semi-classical approximation
!
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!
!
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(D) Weak approximation
!
(D)
!
!
21. In partial wave analysis, the expression
for total cross-section of scattering is
(
24. The relativistic relation for the total energy
E of a free particle with rest mass m0 is
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(A)
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(B) E = C p + m0C
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K-2514
5
Paper III
*K2514*
Total Number of Pages : 16
28. Fractional fluctuations of number of
particles in Bose-Einstein gas is given
by
25. In Born’s approximation the effective
cross-section of scattering depends on
(A) Momentum (p) of the incident
(A)
particle
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(B) Angle of scattering ( )
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(C) p and
(D) p and
in any combination
(C)
in the combination p sin
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(D)
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29. Magnetic susceptibility per electron of
diamagnetic materials is
26. Identify which of the following is second
order phase transition ?
1) Transition of liquid helium-I into
liquid helium-II
(A)
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2) Transition of water into water
vapour
(B)
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3) Transition of non-ferromagnetic
state to ferromagnetic state
(C)
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(A) 1 and 2
(B) 2 and 3
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30. According to Curie-Weiss law, which is
of the following is correct ?
(D) 1, 2 and 3
27. Ising model is to understand the
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(A)
behaviour of a substance whose
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molecules possess
!
(B)
(A) Non-magnetic nature
(B) Random orientation
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(C)
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(C) Electrostatic nature
!
(D)
(D) Magnetic moment
Paper III
6
"
K-2514
*K2514*
Total Number of Pages : 16
31. All the materials have ____________
34. An OP AMP data sheet gives a 15 V
property.
power bandwidth of 25 kHz. Its slew
(A) Paramagnetic
rate is
(B) Diamagnetic
(A) 0.236 V/ s
(C) Ferromagnetic
(B) 2.36 V/ s
(D) Ferrimagnetic
(C) 23.6 V/ s
32. The equation of fitting a straight line that
gives as a0 + a1
indicates the given
below information.
(D) 236.0 V/ s
!
Statement (A) :
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35. A piece of semiconducting material is
is the centroid of
introduced in a circuit. If the temperature
the given data points.
of the material is raised the circuit current
Statement (B) : The fitted straight line
will
passes through the centroid of the data
points.
(A) Increase
(A) (A) and (B) are correct
(B) Remain the same
(B) Only (A) is correct
(C) Decrease
(C) Only (B) is correct
(D) Cease to flow
(D) (A) and (B) are both wrong
36. The Fourier transform of sin(x)/x is
33. Flash ADC is
(A) The slowest of all types of ADCs
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comparators for generating a n-bit
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(C) Fastest of all ADCs and need (2 – 1)
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(D) a square function
(D) Cannot be practically realized
K-2514
7
Paper III
*K2514*
Total Number of Pages : 16
40. Paschen-Back effect is due to
37. An amplifier has a voltage gain of 500
and an input impedance 20 k
without
(A) Spin of the electron
any feedback. Now a negative feedback
with
!
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(B) Only orbital motion of the electron
is applied. Its gain and input
(C) Spin-orbit interaction
impedance with feedback will
(D) Spin of the nucleus
respectively be
(A) 9.8 and 392
41. In ESR the contribution by nuclear
magnetic moment
(B) 9.8 and 1020 k
(A) Exists but neglected
(C) 50 and 1020
(B) Does not exist
(D) 50 and 2 k
(C) Exists and considered
(D) Has very high value
38. The normal Zeeman effect of cadmium
red line is 6438
. When the cadmium
42. The Frank-Condon principle is based on
the principle on the fact that nuclei are
atoms are placed in a magnetic field of
0.009 T, the shift is
(A) moving with velocity of light
(A) 0.174
(B) are having zero mass
(B) 0.0174
(C) are at rest
(C) 0.00174
(D) are neglected
(D) 0.000174
43. Hyperfine structure and isotope effect are
associated with
39. In 4f shell of an atom, there are 6
(A) only splitting of the electronic
energy levels
electrons. The value of J is
(A) 0
(B) only shifting of electronic energy
levels
(B) 1
(C) 2
(C) both shifting and splitting of
electronic energy levels
(D) 3
(D) no change in the energy levels
Paper III
8
K-2514
*K2514*
Total Number of Pages : 16
44. A laser operates at a frequency of
48. The energy separation between two
3 × 104 Hz and has a slit width 10–2m.
The angular spread will be
(A) 10
–2
radians
(B) 10
–4
radians
(C) 10
–3
(D) 10
–5
consecutive Stokes line in Raman
scattering depends on
(A) Energy separation between
vibrational levels in the excited
state
radians
(B) Wavelength of the incident light
radians
(C) Energy separation between
vibrational levels in the ground
45. Moseley’s law relates
state
(A) wavelength and intensity of X-rays
(D) Intensity of the incident light
(B) frequency and applied voltage
49. The number of photons emitted per
(C) frequency and atomic number
second from one watt Ar-ion laser
(D) wavelength and scattering
operating at 488.0 nm is approximately
(A) 10.23 × 10
46. The possible values of total angular
momentum J resulting from the addition
of two angular momenta j1 = 1 and j2 = 2
are
(B) 2.46 × 10
18
(C) 10.23 × 10
(D) 2.46 × 10
(A) 1, 2
(B) 1, 3
19
17
15
50. The maximum degeneracy of an
(C) 0, 1, 2
energy level with principal quantum
(D) 1, 2, 3
number ‘n’ is
(A) n
47. Raman spectra is due to collision of
(B) n
(A) Photon with electron
2
(C) 2n
(B) Photon with molecule
2
(D) 2n2 + 1
(C) Electron with atom
(D) Electron with photon
K-2514
9
Paper III
*K2514*
Total Number of Pages : 16
51. A two-dimensional lattice has the basis
vectors 2i and i + 2j. The basis vectors of
the reciprocal lattice are
(A)
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55. Match the material properties (List – I)
with the units (List – II) :
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(A) 1-A, 2-D, 3-B, 4-C
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(B) 1-B, 2-C, 3-A, 4-D
(C) 1-B, 2-D, 3-A, 4-C
52. Which one of the following pairs of crystal
structures can have the same packing
fraction of 0.74 ?
(D) 1-A, 2-D, 3-C, 4-B
(A) BCC and BCT
56. For copper metal, the conduction
electron density is 8.45 × 1028 m–3. The
Fermi wave vector is
(B) BCC and FCC
(C) BCC and HCP
(A) 2.5 × 1010 m
(D) FCC and HCP
10
(B) 1.36 × 10 m
10
(C) 4.5 × 10 m
53. Ionic solids are
10
(D) 1.36 × 10 m
(A) Soft and brittle
(B) hard and brittle
57. If E is the electric field developed in the
presence of a temperature gradient T
maintained at the ends of a metal rod,
under open circuit conditions, then the
constant of proportionality in the equation
E = c T is
(C) Malleable and ductile
(D) Malleable, hard and brittle
54. In case of instability in a cubic crystal
(A)
(A) Peltier coefficient
!
(B) C44 > 0
(C) C
(D) C
Paper III
–1
11
11
(B) Joule coefficient
>C
(C) Seebeck coefficient
=C
(D) Thermal coefficient
12
12
10
K-2514
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Total Number of Pages : 16
58. A Frenkel defect in an ionic crystal is a
stochiometric defect of
61. In tight binding approximation, for a
simple cubic lattice, the band width is
(A) a cation vacancy
(A) 15
(B) an anion vacancy
(C) a pair of cation and anion vacancy
(B) 12
(D) a pair of cation interstitial and cation
vacancy
(C) 9
(D) 6
59. When a dc voltage V is applied
across a superconductor-insulatorsuperconductor junction ?
62. Liquid helium does not exhibit
1) Cooper pairs cross the barrier layer
(A) Fountain effect
2) An oscillating current of KHz
frequency is produced
(B) Lambda transition
3) A photon of energy 2eV is emitted/
absorbed
(C) Thermo-mechanical effect
(D) Photo-mechanical effect
4) A dc current is produced
5) A very precise value of e/h can be
obtained
63. Most of the liquid crystal cells used in
LCD display are of the type
Which of the above statements are true ?
(A) 1, 4, 5
(A) Smectic
(B) 2, 4, 5
(B) Nematic
(C) 1, 3, 5
(C) Twisted nematic
(D) 1, 2, 5
(D) Cholestric
60. The relation between resistivity of a metal
at high temperature T is
64. Which of the following are probable to be
captured by the nucleus ?
(A)
!
(A) K-shell electrons
(B)
!
(B) L-shell electrons
(C)
!
(C) M-shell electrons
(D)
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(D) Outermost-shell electrons
!
11
Paper III
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Total Number of Pages : 16
65. The binding energy per nucleon is
68. In the
maximum for the nucleus
(A)
decay, the particles
accompanying the daughter nucleus are
56
(A) Electron and neutrino
Fe
(B) Electron and anti-neutrino
4
(B) He
(C) Positron and neutrino
(C)
208
(D)
101
Pb
(D) Positron and anti-neutrino
Mo
69. The reaction
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66. According to meson theory of nuclear
___________ is an example of
forces a neutron
(A) Emits a
(A) Alpha decay
° meson and is converted
(B) Beta decay
into a proton
(B) Emits a
–
(C) Positron decay
meson and is converted
(D) Electron capture
into a proton
(C) Emits a
+
70.
meson and is converted
131I, has a half life of 8.04 days. Assuming
you start with a 1.53 mg sample of 131I,
how many mg will remain after 13 days ?
into a proton
(D) Cannot be converted into a proton
(A) 0.835
(B) 0.499
67. Consider
!
particles each having
(C) 0.422
an energy of 1 MeV. Arrange these
(D) 0.268
particles in the order of increasing
distance they travel in air.
(A)
"
71. Nuclei above the belt of stability can
lower their neutron to proton ratio by
!
(A) Beta emission
(B)
"
!
(B) Gamma emission
(C)
(D)
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"
(C) Positron emission
!
(D) Electron capture
!
12
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72. How many neutrons are emitted when a
californium-249 nucleus (Z = 98) is
bombarded with a carbon 12 nucleus to
74. The decay chain of the radioactive
nucleus involves eight alpha decays and
six
produce a
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nucleus ?
(A) 1
(B) 2
(C) 3
(D) 4
–
decays. The final nucleus at the
end of the process will have
(A) Z = 84, A = 224
(B) Z = 88, A = 206
73. In the case of fundamental particles ?
(C) Z = 82, A = 206
1) Conservation of energy is obeyed
2) Conservation of momentum is
obeyed but angular momentum is not
obeyed
(D) Z = 76, A = 200
3) Conservation of parity is not obeyed
75. CPT theorem is also known as
4) Conservation of isotopic spin is
obeyed
Which of the following options is correct ?
(A) Luders-Pauli theorem
(A) 1, 2
(B) 2, 3
(C) 3, 4
(D) 1, 4
(B) Briet-Wigner theorem
(C) Optical theorem
(D) Gellmann theorem
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Paper III
*K2514*
Total Number of Pages : 16
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Space for Rough Work
Paper III
14
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*K2514*
Total Number of Pages : 16
bñÜᤠŸÃÜÖÜPÝRX ÓܧÙÜ
Space for Rough Work
K-2514
15
Paper III
*K2514*
Total Number of Pages : 16
bñÜᤠŸÃÜÖÜPÝRX ÓܧÙÜ
Space for Rough Work
Paper III
16
K-2514