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SCHEME
B.Sc. PHYSICS (HONOURS) PART–I (I & II SEMESTER)
2016-2017 , 2017-2018 & 2018-19 SESSION
Title of Paper
Hours Max Marks
Examination
(Per
Time (Hours)
Week)
Total Ext. Int.
PHYS 1.1.1
Mechanics
3
75
60
15
03
PHYS 1.1.2
Electricity and Magnetism-I
3
75
60
15
03
PHYS 1.1.3
Physics Laboratory
6
50
40
10
03
Code
SEMESTER – I
MAJOR COURSES
SUBSIDIARY COURSES
HUMS 1.1.4
English
4
100
80
20
03
CHEMS 1.1.5
General Chemistry-I
4
75
60
15
03
CHEMS 1.1.6
Chemistry Lab
3
25
20
5
03
MATHS 1.1.7
Advanced Calculus and Geometry
6
100
80
20
03
PHYS 1.2.1
Special Theory of Relativity
3
75
60
15
03
PHYS 1.2.2
Electricity and Magnetism-II
3
75
60
15
03
PHYS 1.2.3
Physics Laboratory
6
50
40
10
03
SEMESTER – II
MAJOR COURSES
SUBSIDIARY COURSES
HUMS 1.2.4
Punjabi
4
100
80
20
03
CHEMS 1.2.5
General Chemistry-II
4
75
60
15
03
CHEMS 1.2.6
Chemistry Lab
3
25
20
5
03
MATHS 1.2.7
Linear Algebra
6
100
80
20
03
SEMESTER-I
MAJOR COURSES: PHYSICS (HONOURS)
PHYS 1.1.1: MECHANICS
Maximum Marks:
External 60
Internal 15
Total
75
Time Allowed: 3 Hours
Total Teaching hours: 45
Pass Marks: 35 %
Out of 75 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 15 marks, and the final examination
at the end of the semester carries 60 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 10 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 10 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
SECTION - A
Mathematical Tools: Differentiation: Basic ideas, the chain rule, implicit differentiation, special
points of a function. Differential Equations: First degree first order equations, exact differentials,
integrating factor, second order homogeneous and non-homogeneous differential equations with
constant coefficients, complementary solutions and particular integral. Integration: As area under
the curve and inverse of differentiation, simple examples, integration by substitution and by
parts, reduction formulae, integration in plane polar coordinates.
Vectors: Basics, vector addition, products of vectors (Scalar and Vector), reciprocal vectors,
vector derivatives, circular motion, vectors and spherical polar coordinates, invariants.
Conservation Laws: Conservation of Energy, Conservative forces, Internal forces and
conservation of linear momentum, Centre of mass, systems with variable mass, Space-Vehicle
Problem. Conservation of Angular Momentum, Internal torques, Angular Momentum about the
Centre of mass, Rotational invariance, Shape of Galaxy.
SECTION - B
Elastic and Inelastic Scattering: Types of scattering and conservation laws, Laboratory and
centre of mass systems, collision of particles which stick together, General elastic collision of
particles of different mass, Cross-section of elastic scattering, Rutherford scattering.
Dynamics of Rigid Bodies : Equation of motion, angular momentum and kinetic energy of a
Rotating Body, Moment of Inertia and Radius of Gyration, Rotation of about fixed axes – time
dependence of motion, cylinder on an accelerated rough plane, Behaviour of angular momentum
vector, Principal axes and Euler’s equations. Elementary Gyroscope, Symmetrical Top.
Inverse-Square-Law of Forces: Force between a Point Mass and Spherical shell. Force
between a Point Mass and Solid Sphere, Gravitational and Electrostatic self-energy.
Gravitational energy of the Galaxy and of uniform sphere; Orbits and their eccentricity, Two
body problem - reduced mass. (Ch. IX of Book 2, Ch. 6 of Book 3).
Relevant problems given at the end of a chapter in books 1, 2 and 3.
Recommended Books:
1. Mathematical Methods for Physics and Engineering: K.F. Riley, M.P. Hobson and S.J.Bence
(Cambridge University Press), 1998.
2. Mechanics (Berkeley) Physics Course I: Charles Kittle, Walter D. Knight, M. Alvin and A.
Ruderman (Tata McGraw Hill), 1981.
3. Mechanics: H.S. Hans and S.P. Puri (Tata McGraw Hill), 2003.
4. Introduction to Classical Mechanics: R.G. Takwale & P.S.Puranik (Tata-McGraw-Hill),
2000.
PHYS 1.1.2: ELECTRICITY AND MAGNETISM-I
Maximum Marks:
External 60
Internal 15
Total
75
Time Allowed: 3 Hours
Total Teaching hours: 45
Pass Marks: 35 %
Out of 75 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 15 marks, and the final examination
at the end of the semester carries 60 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 10 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 10 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
SECTION - A
Mathematical Tools: Complex Numbers : Real and imaginary parts, complex plane, polar
representation, conjugation, algebraic operations, Euler’s formula, power and roots of complex
numbers, exponential and trigonometric functions, hyperbolic functions, logarithms, inverse
functions. Vector Calculus: Differentiation of vectors, scalar and vector fields, conservative
fields and potentials, line integrals, gradient of a scalar field, divergence of a vector field and
divergence theorem, curl of a vector field and its physical significance, Stokes’ theorem,
combination of grad, div and curl.
Electric Charges and Fields: Conservation and quantization of charge, Coulomb’s Law, Energy
of a system of charges. Flux and Gauss’s law. Brief review of electric fields of a spherical charge
distribution, a line charge and an infinite flat charged sheet.
SECTION - B
Electric Potential: Potential as line integral of field, potential difference, Gradient of a scalar
function, Derivation of the field from the potential, potential of a charge distribution, Uniformly
charged disc. Force on a surface charge, energy associated with an electric field, Gauss’s
theorem and differential form of Gauss’s law, Laplacian and Laplace’s equation, Poisson’s
equation.
Electric Fields Around Conductors: Conductors and insulators, General electrostatic problem.
Boundary conditions, Uniqueness theorem, some simple system of conductors; capacitors and
capacitance, Energy stored in a capacitor.
Electric Currents: Charge transport and current density, Stationary currents, Ohm’s law,
Electrical conduction model, Failure of Ohm’s law, Circuits and circuit elements, Energy
dissipation in current flow, variable currents in capacitors and resistors.
Relevant problems given at the end of each chapter in books 1, 2 and 3.
Recommended Books:
1. Mathematical Methods in the Physical Sciences: M.L.Boas (Wiley), 2002.
2. Introduction to Mathematical Physics: C. Harper (Prentice Hall of India), 2004.
3. Electricity and Magnetism (Berkley, Phys. Course 2): E.M. Purcell (Tata McGraw Hill),
1981.
4. Elements of Electromagnetics: M.N.O.sadiku (Oxford University Press), 2001.
5. Electricity and Magnetism: A.S. Mahajan & A.A. Rangwala (Tata- McGraw Hill), 1988.
6. Electricity and Magnetism: A.N. Matveev (Mir), 1986.
PHYS 1.1.3: PHYSICS LABORATORY
Maximum Marks: 50
Pass Marks: 45%
Time allowed: 3 Hours
Total teaching hours: 90
Out of 50 Marks, internal assessment carries 10 marks, and the final examination at the end of the
semester carries 40 marks.
Internal assessment will be based on day to day performance of the students in the laboratory,
viva voice of each experiment, regularity in the class, and number of experiments performed.
Note: (i) Ten to twelve experiments are to be performed in first Semester.
(ii) The candidate is to mark four experiments on the question paper. The examiner will allot one
experiment to be performed. The distribution of marks is given below:
1. One full experiment requiring the student to take some data, analyse it and draw
conclusions-(candidates are expected to state their results with limits of error).
2. Brief theory
3. Viva-Voce
4. Record (Practical File)
(20)
(06)
(08)
(06)
List of Experiments:
Experimental skills: General Precautions for measurements and handling of equipment,
Presentation of measurements, Fitting of given data to a straight line, and Error analysis,
Significant figures and interpretation of results.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Use of Vernier calipers, Screw gauge, Spherometer, Barometer, Sphygmomanometer,
Lightmeter, dry and wet thermometer, TDS/conductivity meter and other measuring
instruments based on applications of the experiments. Use of Plumb line and Spirit level.
To study the variation of time period with distance between centre of suspension and
centre of gravity for a bar pendulum and to determine:
(i) Radius of gyration of the bar about an axis through its C.G. and perpendicular to its
length.
(ii) The value of g in the laboratory.
Determination of ‘g’ by Kater's pendulum.
Determination of ‘g’ by free-fall method using electronic timer.
To study moment of inertia of a flywheel.
Determination of height (of inaccessible structure) using sextant.
Determination of modulus of rigidity by static method.
Determination of modulus of rigidity by (i) dynamic method Maxwell's needle/Torsional
pendulum; (ii) Forced torsional oscillations excited using electromagnet.
Determination of coefficient of viscosity of a given liquid by Stoke's method. Study its
temperature dependence.
To determine the Young's modulus by (i) bending of beam using traveling
microscope/laser, (ii) Flexural vibrations of a bar.
11.
12.
13.
14.
15.
16.
17.
To study one dimensional collision using two hanging spheres of different materials.
Dependence of scattering angle on kinetic energy and impact parameter in Rutherford
scattering (mechanical analogue).
To measure the coefficient of linear expansion for different metals and alloys.
Determination of E.C.E. of hydrogen and evaluation of Faraday and Avogadro constants.
To study the magnetic field produced by a current carrying solenoid using a pick-up
coil/Hall sensor and to find the value of permeability of air.
To determine the frequency of A.C. mains using sonometer.
To study given source of electrical energy and verify the maximum power theorem.
SUBSIDIARY COURSES: PHYSICS (HONOURS)
HUMS 1.1.4: ENGLISH
Maximum Marks:
External 80
Time Allowed: 3 Hours
Internal 20
Total Teaching hours: 50
Total
100
Pass Marks: 35 %
COURSE CONTENT
The course content of this paper shall comprise the following books:
1.
2.
Perspectives: Selections from Modern English Prose and Fiction, edited by S.A. Vasudevan and
M. Sathya Babu, Published by Orient Longman.
Six One-Act Plays, edited by Maurice Stanford, Published by Orient Longman.
TESTING
The paper shall have two sections. Section-A shall comprise testing from Perspectives while
Section-B from Six One-Act Plays.
SECTION - A: PERSPECTIVES
Q.1
(Based on the section entitled "Prose", comprising chapters I to VI)
(a)
One essay-type question with internal alternative. The answer should not exceed 250 words.
12 Marks
(b)
Q.2
Q.3
Q.4
Five short-answer questions to be attempted out of seven. Each answer should be written
in 25 to 30 words.
5×2=10 Marks
(Based on the section entitled "Fiction", comprising chapter VII to IX)
(a)
One essay type question with internal alternative on character/theme and
incident/episode. The answer should not exceed 250 words.
12 Marks
(b)
There will be one short answer question from each of the three stories. The candidate
shall be required to attempt any two. Each answer should be written in 25 to 30 words.
2×3=6Marks
(Based on the section entitled "Biographies", comprising chapter X to XII)
(a)
One essay type question with internal alternative. The answer should not exceed 250 words.
10 Marks
(b)
There will be one short answer question from each chapter. The candidate shall be
required to attempt any two. Each answer should be written in 25 to 30 words.
2×2½=5 Marks
SECTION – B: SIX ONE-ACT PLAYS
(a)
One essay type question on character, incident/episode or theme with internal alternative.
The answer should not exceed 250 words.
15 Marks
Five short-answer questions to be attempted out of seven. Each answer should be written
in 25 to 30 words.
5×2=10 Marks
(b)
CHEMS 1.1.5: GENERAL CHEMISTRY-I
Maximum Marks:
External 60
Internal 15
Total
75
Time Allowed: 3 Hours
Total Teaching hours: 45
Pass Marks: 35 %
Out of 75 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 15 marks, and the final examination
at the end of the semester carries 60 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 10 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 10 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
The course of this paper corresponds to Physical & Organic Chemistry.
SECTION - A
Chemical Thermodynamics and Chemical Equilibrium:
Objectives and limitations of Chemical Thermodynamics, State functions, thermodynamic
equilibrium, work, heat, internal energy, enthalpy.
First Law of Thermodynamics: First law of thermodynamics for open, closed and isolated
systems. Reversible isothermal and adiabatic expansion/compression of an ideal gas. Irreversible
isothermal and adiabatic expansion.
Enthalpy change and its measurement, standard heats of formation and absolute enthalpies.
Kirchoff’s equation.
Second and Third Law: Various statements of the second law of thermodynamics. Efficiency of
a cyclic process (Carnot’s cycle). Entropy. Entropy changes of an ideal gas with changes in P,V,
and T. Free energy and work functions. Gibbs-Helmholtz Equation. Criteria of spontaneity in
terms of changes in free energy.
Third law of thermodynamics: Absolute entropies.
Thermodynamics of Simple Mixtures: Partial molar quantities and their significance. Chemical
potential and its variation with T and P. Fugacity function and its physical significance. Concept
of activity and activity coefficient.
Chemical Equilibrium: General characteristics of chemical equilibrium, thermodynamic
derivation of the law of chemical equilibrium, Van’t Hoff reaction isotherm. Relation between
Kp, Kc and Kx. Temperature dependence of equilibrium constant-Van’t Hoff equation,
homogeneous & heterogreneous equilibria, Le Chetalier’s principle.
Compounds of Carbon
Differences in chemical and physical behaviour as consequences of structure. Discussion (with
mechanism) of reactions of hydrocarbons’ ranging from saturated acyclic and alicyclic,
unsaturated dienes and aromatic systems. Huckel rule; as applied to 4n+2 systems. Industrial
sources and utility of such compounds in daily life for medicine clothing and shelter.
Section-B
Stereochemistry
Structure, reactivity and stereochemistry. Configuration and conformation. Optical activity due
to chirality; d,l, meso and diastereoisomerism, sequence rules. Reactions involving
stereoisomerism.
Geometrical isomerism – determination of configuration of geometric isomers. E & Z system of
nomenclature. Conformational isomerism – conformational analysis of ethane and n- butane;
conformations of cyclohexane, axial and equatorial bonds, conformations of monosubstituted
cyclohexane derivatives. Newman projection and Sawhorse formule, Fischer and flying wedge
formulae.
Spectra of Organic Molecules: Range of electromagnetic spectrum. Absorption and emission
spectra. Pure rotational and vibrationrotation spectra of diatomic molecules. Rotational and
vibrational Raman spectra. Electronic spectra of diatomic molecules. Introduction to Infrared,
Ultraviolet/Visible and Proton NMR Spectroscopy. Use of these spectroscopic techniques in
identification of various functional groups. Structure elucidation of simple organic molecules.
Suggested Books
ESSENTIAL
1. Mahan B.H., University Chemistry, Pubs: Norosa Publishing House, 1998.
2. Puri B.R., Sharma L. R. and Pathania M. S., Principles of Physical Chemistry, Pubs:
Vishal Publishing Company, 2003.
3. Sienko M.J. and Plane R.A., Chemistry principles and properties, Pubs: MC Graw-Hill,
New York 1975.
4. Morrison R.T.N. and Boyd R.N., Organic Chemistry, 5th edn., Pubs: Allyn and Bacon,
London, 1987.
5. Cotton F.A., Wilkinson G.W. and Gaus P.L., Basic Inorganic Chemistry, Pubs: John
Wiley & Sons, 1987.
CHEMS 1.1.5: GENERAL CHEMISTRY-I
FURTHER READING
1. Lippincott W.T., Carett A.R. and F.H. Chemistry, A Study of Matter, Pubs: John Wiely,
New York, 1977.
2. Dickerson R.E., Gray H.B., Derensburg M.Y. and D.S. Darensbourg, Chemical
Principles, Pubs: Benjamin-Cummings Menlo Park, 1984.
3. McQuarrie D.A. and Rock P., General Chemistry, Pubs: W.H. Freeman, New York,
1984.
4. Brown T.L. and Lemay H.E., Chemistry: the Central Science, Pubs: Prentice-Hall, New
Jersey, 1977.
CHEMS 1.1.6: CHEMISTRY LAB
Maximum Marks: 25
Pass Marks: 45%
Time allowed: 3 Hours
Total teaching hours: 45
Out of 25 Marks, internal assessment carries 5 marks, and the final examination at the end of the
semester carries 20 marks.
Internal assessment will be based on day to day performance of the students in the laboratory,
viva voice of each experiment, regularity in the class, and number of experiments performed.
The candidate is to mark three experiments on the question paper. The examiner will allot one
experiment to be performed. The distribution of marks is given below:
1. One full experiment requiring the student to take some data, analyse it and draw
conclusions-(candidates are expected to state their results with limits of error).
2. Viva-Voce
3. Record (Practical File)
(12)
(04)
(04)
List of Exercises:
1. Analysis of the given organic compounds (solid) (Elemental Analysis, Detection of functional
groups and (m.pt.). The compounds to be given are acids, phenols, carbohydrates, amides, amines
and Thiourea etc.).
1. Determination of melting point
Naphthalene 80-82o, Benzoic acid 121.5-122 o
Urea, 132.5-133 o, Succinic acid 184-185 o
Cinnamic acid 132.5-133 o, Salicylic acid 157-5-158 o
Acetanilide 113-5-114 o, m-Dinitrobenzene 90 o
p-Dichlorobenzene 52 o . Aspirin 135 o
2. Concept of induction of crystallization
Phthalic acid from hot water (using fluted filter paper and stemless funnel)
Acetanilide from boiling water
Naphthalene from ethanol
Benzoic acid from water.
Suggested Books:
1. Vogel A.I., Tatchell A.R., Furnis B.S., Hannaford A.J., Smith P.W.G.,Vogel’s Text Book
of Practical Organic Chemistry,5th Edn., Pubs: ELBS, 1989.
2. Pavia D.L., Lampanana G.M., Kriz G.S. Jr., Introduction to Organic Laboratory Techniques, 3rd
Edn., Pubs: Thomson Brooks/Cole,2005.
3. Mann F.G., Saunders. P.C.,Practical Organic Chemistry,Pubs:Green & Co. Ltd., London, 1978.
MATHS 1.1.7: ADVANCED CALCULUS AND GEOMETRY
Maximum Marks:
External 80
Internal 20
Total
100
Time Allowed: 3 Hours
Total Teaching hours: 90
Pass Marks: 35 %
Out of 100 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 20 marks, and the final examination
at the end of the semester carries 80 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 15 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 15 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
SECTION – A
Multivariable Functions and partial derivatives: Vector-valued function and space curves.
Arc length and unit tangent vector. Limit and continuity of multivariable function. Partial
derivatives.
Directional derivatives, gradiant vectors and tangent planes (Chapters 11 Secs. 11.1, 11.3,
Chapter 12.1-12.3 and 12.7 of Calculus and Analytic Geometry by Thomas and Finney, Ninth
Edition).
Multiple Integrals and Integral in vector fields: Double and triple integrals. Fubini’s Theorem
without proof, Change of order of integration in double integrals, volume of a region in space,
Triple integrals in spherical and Cylindrical coordinates, substitution in multiple integrals.
[Scope as in Sections 13.1 to 13.4, 13.6, 13.7 of Chapter 13 in the book ‘Calculus and Analytical
Geometry’ by G. B. Thomas and R. L. Finney, 9th Edition.]
Line integrals vector fields. Path independence and surface integrals. Divergence and Stoke’s
theorem (Applications only).
[Scope as in Sections 14.1, 14.3, 14.4, 14.5, 14.7 of Chapter 14 of the book ‘Calculus and
Analytic Geometry’ by G. B. Thomas and R. L. Finney, 9th Edition.]
SECTION – B
Plane Geometry: Transformation of axes, shifting of origin, reflection and rotation of axes,
reduction of the equation S=Ax2+Bxy+Cy2 +Dx+Ey+f = 0 into simpler forms by transformation
of coordinate axes (without proof). Identification of curves represented by S=0. Invariance of
discriminant  and trace t. Condition that a second degree equation should represent a pair of
straight lines. Polar coordinates, polar equation of a conic.
[Scope as in Chapters 1, 6(Sections 6.1-6.4), 7(Sections 7.1-7.8, 7.11-7.15) from Plane Geometry
of “New Pattern Vector Algebra and Geometry” by J. P. Mohindru, Mrs. Usha Gupta and A. S.
Dogra, International Publishers, Edition 2004.]
Solid Geometry: Sphere, Cone, Cylinder, Equation of paraboloid, ellipsoid and hyperboloid in
standard forms. Simple properties of these surfaces. Equation of tangent planes to the above
surfaces.
[Scope as in Chapters 1(Sections 1.1-1.6, 1.11-1.14), 2(Sections 2.1-2.5, 2.12, 2.13), 3 (Sections
3.1-3.3), 4(Sections 4.6, 4.7, 4.10, 4.11) from Solid Geometry of “New Pattern Vector Algebra
38
and Geometry” by J. P. Mohindru, Mrs. Usha Gupta and A. S. Dogra, International Publishers,
Edition 2004.]
Suggested Readings
1. Thomas and Finney: Calculus and Analytic Geometry, Ninth Edition, Addison WEslet,
1995.
2. Shanti Narayan: Analytic Geometry.
3. J. P. Mohindru, Mrs. Usha Gupta & A. S. Dogra: New Pattern Vector Algebra and
Geometry, International Publishers, New Edition (2004).
SEMESTER-II
MAJOR COURSES: PHYSICS (HONOURS)
PHYS 1.2.1: SPECIAL THEORY OF RELATIVITY
Maximum Marks:
External 60
Internal 15
Total
75
Time Allowed: 3 Hours
Total Teaching hours: 45
Pass Marks: 35 %
Out of 75 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 15 marks, and the final examination
at the end of the semester carries 60 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 10 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 10 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
SECTION - A
Newton’s Laws of Motion: Forces and equations of motion, Lorentz force, Motion of a charged
particle in a uniform constant electric field, Charged particle in a uniform alternating electric
field. Charged particle in a uniform magnetic field.
Galilean Transformation: Inertial reference frames, absolute and relative accelerations and
velocity, Galilean Transformation, Foucault’s pendulum, Conservation of Momentum, Fictitious
Forces, Collisions, Velocity and Acceleration in Rotating coordinate systems.
Lorentz Transformations: Michelson-Morley Experiment, Basic postulates of special
relativity, Lorentz transformations, Simultaneity and causality in relativity. Length contraction,
Time dilation, Velocity Transformation, Space-like and time-like intervals, Aberration of light,
relativistic Doppler effect.
SECTION - B
Relativistic Dynamics: Conservation of Momentum, Relativistic momentum, Relativistic
Energy, Transformation of Momentum and Energy, Equivalence of Mass and Energy. Particles
with zero Rest-mass. Transformation of force, Four vectors.
Problems in Relativistic Dynamics: Acceleration of Charged Particle by constant longitudinal
electric field, Acceleration by a Transverse Electric field, charged particle in a magnetic field,
centre of mass system and Threshold Energy. Energy available from Moving charge, Antiproton
Threshold, Photoproduction of mesons.
Principle of Equivalence: Inertial and Gravitational Mass, Gravitational Mass of photons,
Gravitational Red-Shift, Equivalence.
Relevant problems given at the end of a chapter in books 1, 2 and 3.
Recommended Books:
1. Mechanics (Berkeley) Physics Course I: Charles Kittle, Walter D. Knight, M. Alvin and
A. Ruderman (Tata McGraw Hill), 1981.
2. Mechanics: H.S. Hans and S.P. Puri (Tata McGraw Hill), 2003.
3. Introduction to Classical Mechanics: R.G. Takwale & P.S.Puranik (Tata-McGraw-Hill),
2000
PHYS 1.2.2: ELECTRICITY AND MAGNETISM-II
Maximum Marks:
External 60
Internal 15
Total
75
Time Allowed: 3 Hours
Total Teaching hours: 45
Pass Marks: 35 %
Out of 75 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 15 marks, and the final examination
at the end of the semester carries 60 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 10 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 10 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
SECTION – A
Electric Fields in Matter: Dielectrics, Moments of a charge distribution, Potential and field of a
dipole, Atomic and molecular dipoles, Induced dipole moments, Permanent dipole moments,
electric field caused by polarized matter, field of a polarized sphere, dielectric sphere in a
uniform field, Gauss’s law and a dielectric medium, Electrical susceptibility and atomic
polarizability, Energy changes in polarization, Polarization in changing fields.
The Fields of Moving Charges: Magnetic forces, Measurement of a charge in motion,
invariance of charge, Electric field measured in different frames of reference, Field of a point
charge moving with constant velocity, Field of a charge that starts or stops, Force on a moving
charge, Interaction between a moving charge and other moving charges.
Magnetic Field: Definition, some properties of the magnetic field, Vector potential, Field of
current carrying wire and solenoid, change in B at a current sheet; Transformations of electric
and magnetic fields. Rowland’s experiment, Hall effect.
SECTION - B
Electromagnetic Induction: Universal law of induction, Mutual inductance, Reciprocity
theorem, Self inductance, Energy stored in a Magnetic field. A circuit containing self inductance,
Displacement current and Maxwell’s equations.
Alternating Current Circuits: A resonance circuit, Alternating current, A.C. networks,
Admittance and impedance, skin effect, power and energy in A.C. circuits, Anderson’s Bridge, Q
factor for series resonance.
Magnetic Fields in Matter: Response of various substances to magnetic field, Force on a dipole
in an external field, Electric currents in Atoms, Electron spin and Magnetic moment, types of
magnetic materials, Magnetic susceptibility.
Relevant problems given at the end of each chapter in following books.
Recommended Books:
1. Electricity and Magnetism (Berkley, Phys. Course 2): E.M. Purcell (Tata McGraw Hill),
2nd ed. 1985,
2. Elements of Electromagnetics: M.N.O. Sadiku (Oxford University Press), 2001.
3. Electricity and Magnetism: A.S. Mahajan & A.A. Rangwala (Tata- McGraw Hill), 1988.
4. Electricity and Magnetism: A.N. Matveev (Mir), 1986.
PHYS 1.2.3: PHYSICS LABORATORY
Maximum Marks: 50
Pass Marks: 45%
Time allowed: 3 Hours
Total teaching hours: 90
Out of 50 Marks, internal assessment carries 10 marks, and the final examination at the end of
the semester carries 40 marks.
Internal assessment will be based on day to day performance of the students in the laboratory,
viva voice of each experiment, regularity in the class, and number of experiments performed.
Note: (i) Ten to twelve experiments are to be performed in first Semester. Experiments
performed in first semester can not be repeated in second semester.
(ii) The candidate is to mark four experiments on the question paper. The examiner will allot one
experiment to be performed. The distribution of marks is given below:
1. One full experiment requiring the student to take some data, analyse it and draw
conclusions-(candidates are expected to state their results with limits of error).
2. Brief theory
3. Viva-Voce
4. Record (Practical File)
(20)
(06)
(08)
(06)
List of Experiments:
Experimental skills: General Precautions for measurements and handling of equipment,
Presentation of measurements, Fitting of given data to a straight line, and Error analysis,
Significant figures and interpretation of results.
1.
2.
3.
4.
5.
6.
7.
8.
To determine the resistance of an electrolyte for A.C current and study its concentration
dependence. Also to study temperature dependence.
Study of temperature dependence of conductor and semiconductor (FET channel).
To measure thermo e.m.f. of a thermocouple as a function of temperature and find
inversion temperature.
To study C.R.O. as display and measuring device by recording sines and square waves,
output from a rectifier, verification (qualitative) of law of electromagnetic induction and
frequency of A.C. mains.
To plot the Lissajous figures and determine the phase angle by C.R.O.
To study B-H curves for different ferromagnetic materials using C.R.O.
Determination of given inductance by Anderson's bridge.
Determination of low inductance by Maxwell-Wein bridge.
9.
10.
11.
12.
13.
14.
15.
16.
17.
To determine the value of an air capacitance by de-Sauty Method and to find permittivity
of air. Also to determine the dielectric constant of a liquid.
To study temperature coefficient of resistance of Cu.
Study of R.C. circuit with varying e.m.f. using it as an integrating circuit.
Study of R.C. circuit with a low frequency a.c. source.
Studies based on LCR Board: Impedance of LCR circuit and the phase and between
voltage and current.
To measure Laser beam parameters for a He-Ne laser and semiconductor LASER.
To study diffraction from single slit, double slit and diffraction grating. Study of
diffraction patters using mesh, wire, scale graduations, screw and various apertures.
(a) To study Photoelectric effect using Photocell (b) inverse-square law (concept of solid
angle).
To study Malus’s law of polarization.
SUBSIDIARY COURSES: PHYSICS (HONOURS)
Maximum Marks:
HUMS 1.2.4: PUNJABI
External 80
Internal 20
Total
100
Time Allowed: 3 Hours
Total Teaching hours: 50
Pass Marks: 35 %
ਸਿਲੇ ਬਿ ਤੇ ਪਾਠ ਪੁਿਤਕਾਂ
ਭਾਗ ੳ : ਕਥਾ ਰੰ ਗ, ਸੰ ਪਾ. ਵਰਿਆਮ ਰਸੰ ਘ ਸੰ ਧੂ ਅਤੇ ਡਾ. ਬਲਦੇਵ ਰਸੰ ਘ ਚੀਮਾ
ਭਾਗ ਅ : (1) ਰਿਬੰ ਧ-ਿਚਿਾ : ਸਮਾਜਕ, ਵਾਤਾਵਿਣ ਅਤੇ ਸਰਿਆਚਾਿ ਰਵਸ਼ੇ ਿਾਲ ਸਬੰ ਧਤ
(2) ਸਿਆਰਕਣ:
(i) ਪੰ ਜਾਬੀ ਧੁਿੀ –ਰਵਉਂਤ,ਸਵਿ, ਰਵਅੰ ਜਿ, ਉਚਾਿਿ ਅੰ ਗ, ਉਚਾਿਿ ਸਥਾਿ ਉਚਾਿਿ ਰਵਧੀ ਅਿੁਸਾਿ ਧੁਿੀਆਂ ਦਾ
ਵਿਗੀਕਿਣ।
(ii) ਸ਼ਬਦ ਸ਼ਰੇਣੀਆਂ ਅਤੇ ਿੂਪਾਂਤਿਿ: ਿਾਂਵ, ਪੜਿਾਂਵ, ਰਵਸ਼ੇਸ਼ਣ, ਰਕਰਿਆ, ਰਕਰਿਆ ਰਵਸ਼ੇਸ਼ਣ, ਸੰ ਬੰ ਧਕ, ਯੋਜਕ, ਪਰਸ਼ਿ
ਸੂਚਕ ਸ਼ਬਦ
ਭਾਗ ੲ
ਿਾਗ ੳ ਅਤੇ ਿਾਗ ਅਦੇ ਰਵਆਕਿਣ ਵਾਲੇ ਿਾਗ ਰਵਚੋਂ ਸੰ ਖੇਪ ਉੱਤਿਾਂ ਵਾਲੇ ਪਰਸ਼ਿ।
ਅੰ ਕ ਿੰ ਡ ਅਤੇ ਪੇਪਰ ਿੈਟਰ ਲਈ ਹਦਾਇਤਾਂ
1) ਰਸਲੇ ਬਸ ਦੇ ਸਾਿੇ ਿਾਗਾਂ ਰਵਚੋਂ ਪਰਸ਼ਿ ਪੁੁੱ ਛੇ ਜਾਣ ਗੇ ।
2) ਪੇਪਿ ਿੂੰ ਰਤੰ ਿ ਿਾਗਾਂ ੳ, ਅ ਅਤੇ ੲ ਰਵਚ ਵੰ ਰਡਆ ਜਾਵੇਗਾ।
3) ਿਾਗ ੳ ਰਵਚੋਂ :
(i)
ਰਕਸੇ ਕਹਾਣੀ ਦਾ-ਰਵਸ਼ਾ-ਵਸਤੂ/ਸਾਿ/ਲੇ ਖਕਾਂ ਦੇ ਯੋਗਦਾਿ ਜਾਂ ਕਹਾਣੀ ਕਲਾ (ਰਤੰ ਿ ਰਵਚੋਂ ਇੁੱ ਕ)
(ii)
ਪਾਤਿ ਸੰ ਬੰ ਧੀ ਜਾਣਕਾਿੀ।
4) ਿਾਗ ਅ 1 ਰਕਸੇ ਰਵਸ਼ੇ ਤੇ ਰਿਬੰ ਧ ਰਲਖਣ ਲਈ ਰਕਹਾ ਜਾਵੇਗਾ।
(ਪੰ ਜ ਰਵਚੋਂ ਦੋ)
(ਰਤੰ ਿ ਰਵਚੋਂ ਇੁੱ ਕ)
2 ਦੇ ਦੋਵਾਂ ਿਾਗਾਂ ਰਵਚੋਂ ਇੁੱ ਕ ਇੁੱ ਕ ਪਰਸ਼ਿ ਪੁੁੱ ਰਛਆ ਜਾਵੇਗਾ ਅਤੇ ਰਵਰਦਆਿਥੀ
14 ਅੰ ਕ
2x6=12 ਅੰ ਕ
12 ਅੰ ਕ
12 ਅੰ ਕ
ਿੇ ਦੋਵਾਂ ਰਵਚੋਂ ਇਕ ਪਰਸ਼ਿ ਕਿਿਾ ਹੋਵੇਗਾ।
5) ਿਾਗ ੲ ਕਥਾ ਰੰ ਗ ਅਤੇ ਸਿਆਰਕਣ ਵਾਲੇ ਿਾਗ ਰਵੁੱ ਚੋਂ ਸੰ ਖੇਪ ਉੱਤਿਾਂ ਵਾਲੇ 15 (ਪਾਠ ਪੁਸਤਕ
ਕਥਾ ਰੰ ਗ ਰਵਚੋਂ 7 ਅਤੇ ਸਿਆਕਰਣ ਰਵਚੋਂ 8) ਪਰਸ਼ਿ ਪੁੁੱ ਛੇ ਜਾਣਗੇ। ਰਵਰਦਆਿਥੀ
ਿੇ ਸਾਿੇ ਪਰਸ਼ਿਾਂ ਦੇ ਸੰ ਖੇਪ ਉੱਤਿ ਦੇਣੇ ਹੋਣਗੇ। ਹਿੇਕ ਪਰਸ਼ਿ ਦੇ 2 ਅੰ ਕ ਹੋਣਗੇ।
15x2=30 ਅੰ ਕ
ਿਹਾਇਕ ਪਾਠ-ਿਮੱ ਗਰੀ
1. ਹਿਕੀਿਤ ਰਸੰ ਘ, ਿਾਸ਼ਾ ਰਵਰਗਆਿ ਅਤੇ ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ, ਬਾਹਿੀ ਪਬਰਲਸ਼ਿਜ਼, ਰਦੁੱ ਲੀ, 1973.
2. ਬਲਦੇਵ ਰਸੰ ਘ ਚੀਮਾ, ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ ਰਵਰਗਆਿ ਅਤੇ ਰਵਆਕਿਿ (ਤਕਿੀਕੀ ਸ਼ਬਦਾਵਲੀ ਦਾ ਰਵਸ਼ਾ ਕੋਸ਼), ਪੰ ਜਾਬੀ ਯੂਿੀਵਿਰਸਟੀ,
ਪਰਟਆਲਾ, 2000.
3. ਬੂਟਾ ਰਸੰ ਘ ਬਿਾੜ, ਪੰ ਜਾਬੀ ਰਵਆਕਿਿ : ਰਸਧਾਂਤ ਤੇ ਰਵਹਾਿ, ਚੇਤਿਾ ਪਰਕਾਸ਼ਿ, ਲੁਰਧਆਣਾ, 2008.
4. ਪਰੇਮ ਪਰਕਾਸ਼ ਰਸੰ ਘ, ਰਸਧਾਂਤਕ ਿਾਸ਼ਾ ਰਵਰਗਆਿ, ਮਦਾਿ ਪਬਰਲਸ਼ਿਜ਼, ਪਰਟਆਲਾ, 2002.
5. ਪਰੇਮ ਪਰਕਾਸ਼ ਰਸੰ ਘ, ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ ਦਾ ਸਰੋਤ ਤੇ ਬਣਤਿ, ਪੰ ਜਾਬੀ ਯੂਿੀਵਿਰਸਟੀ, ਪਰਟਆਲਾ, 1996.
6. ਪਰੇਮ ਪਰਕਾਸ਼ ਰਸੰ ਘ, ਿੂਪ ਰਵਰਗਆਿ, ਮਦਾਿ ਪਬਰਲਸ਼ਿਜ਼, ਪਰਟਆਲਾ, 2002.
7. ਜੋਰਗੰ ਦਿ ਰਸੰ ਘ ਪੁਆਿ ਅਤੇ ਹੋਿ, ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ ਦਾ ਰਵਆਕਿਿ, (।,।। ਅਤੇ ।।।), ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ ਅਕਾਦਮੀ, ਜਲੰਧਿ।
8. ਸੁਖਰਵੰ ਦਿ ਰਸੰ ਘ ਸੰ ਘਾ, ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ ਰਵਰਗਆਿ, ਪੰ ਜਾਬੀ ਿਾਸ਼ਾ ਅਕਾਦਮੀ, ਜਲੰਧਿ, 1999.
9． ਖੋਜ ਪਰਤਰਕਾ (ਗਲਪ ਰਵਸ਼ੇਸ਼ ਅੰ ਕ), ਪੰ ਜਾਬੀ ਯੂਿੀਵਿਰਸਟੀ, ਪਰਟਆਲਾ.
10. ਡਾ. ਬਲਦੇਵ ਰਸੰ ਘ ਧਾਲੀਵਾਲ, ਪੰ ਜਾਬੀ ਕਹਾਣੀ ਦਾ ਇਰਤਹਾਸ, ਪੰ ਜਾਬੀ ਅਕਾਦਮੀ, ਰਦੁੱ ਲੀ.
CHEMS 1.2.5: GENERAL CHEMISTRY-II
Maximum Marks:
External 60
Internal 15
Total
75
Time Allowed: 3 Hours
Total Teaching hours: 45
Pass Marks: 35 %
Out of 75 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 15 marks, and the final examination
at the end of the semester carries 60 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 10 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 10 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
The course of this paper corresponds to Physical & Inorganic Chemistry.
SECTION - A
Chemical Kinetics and Catalysis:
Rates of reactions, rate constant, order and molecularity of reactions.
Chemical Kinetics: Differential rate law and integrated rate expressions for zero, first, second
and third order reactions. Half-life time of a reaction. Methods for determining order of reaction.
Effect of temperature on reaction rate and the concept of activation energy. Reaction mechanism.
Steady state hypothesis.
Catalysis : Homogeneous catalysis, Acid-base catalysis and enzyme catalysis (Michaelis-Menten
equation). Heterogeneous catalysis. Unimolecular surface reactions.
Electro-Chemistry:
Specific conductance, molar conductance and their dependence on electrolyte concentration.
Ionic Equilibria and conductance, Essential postulates of the Debye-Huckel theory of strong
electrolytes.
Mean ionic activity coefficient and ionic strength. Transport number and its relation to ionic
conductance and ionic mobility.
Conductometric titrations. pH scale. Buffer solutions, salt hydrolysis. Acid-base indicators.
Electrochemical cells:
Distinction between electrolytic and electrochemical cells. Standard EMF and electrode
potential. Types of electrodes Reference electrode.
Calculation of G , H , S and equilibrium constant from EMF data. Potentiometric
determination of pH. Potentiometric titrations.
Covalent Bond:
Various types of hybridization and shapes of simple inorganic molecules and ions (BeF2, BF3,
CH4, PF5, SF6, IF7, SnCl2, XeF4, ClF3, SF4, ClO4 -, ClO3 -, NO3 -).
Concept of molecular orbitals. Molecular orbital theory of homonuclear (Li2 to Ne2) molecules
and ions, and heteronuclear diatomic molecules (CO, CO+, NO, NO+). Concept of
electronegativity, polarity of bonds and dipole moments.
Section-B
Ionic Solids Factors affecting the formation of ionic solids, concept of close packing, radius ratio
rule and coordination number. Calculation of limiting radius ratio for tetrahedral and octahedral
sites.
Structures of some common ionic solids NaCl, ZnS (zinc blende and wurtzite), CsCl and CaF2.
Lattice energy. Born-Hable cycle and its applications.
s and p Block of Elements
variation in size effects, ionization energy, electron affinity, electro negativity, polarizability and
metallic character. Variation in the properties of oxides (acidic and basic properties), hydrides
and halides (solubility,melting point and boiling point)
Coordination Chemistry/Compounds:
Coordinate Bond. Werner’s coordination theory, ligands, chelates. Nomenclature of coordination
compounds. Stereochemistry of different coordination numbers, isomerism. Valence-bond and
crystalfield theories of bonding in complexes. Explanation of properties such as geometry colour
and magnetism.
d and f-Block of Elements:
position in periodic Table, electronic configuration, variation in size, ionization energy, magnetic
behaviour. Complex formation. Bonding in metal carbonyls and metal olefins. Lanthanide
contraction, Comparison of d-and f-block elements.
Suggested Books
ESSENTIAL:
1. Mahan B.H., University Chemistry, Pubs: Norosa Publishing House, 1998.
2. Puri B.R., Sharma L. R. and Pathania M. S., Principles of Physical Chemistry, Pubs:
Vishal Publishing Company, 2003.
3. Sienko M.J. and Plane R.A., Chemistry principles and properties, Pubs: MC Graw-Hill,
New York 1975.
4. Morrison R.T.N. and Boyd R.N., Organic Chemistry, 5th edn., Pubs: Allyn and Bacon,
London, 1987.
5. Cotton F.A., Wilkinson G.W. and Gaus P.L., Basic Inorganic Chemistry, Pubs: John
Wiley & Sons ,1987.
FURTHER READING:
1. Lippincott W.T., Carett A.R. and F.H. Chemistry, A Study of Matter, Pubs:John Wiely,
New York ,1977.
2. Dickerson R.E., Gray H.B., Derensburg M.Y. and D.S. Darensbourg, Chemical
Principles, Pubs:Benjamin-Cummings Menlo Park ,1984.
3. McQuarrie D.A. and Rock P., General Chemistry, Pubs:W.H. Freeman, New York, 1984.
4. Brown T.L. and Lemay H.E., Chemistry: the Central Science, Pubs:Prentice-Hall, New
Jersey,1977.
CHEMS 1.2.6: CHEMISTRY LAB
Maximum Marks: 25
Pass Marks: 45%
Time allowed: 3 Hours
Total teaching hours: 45
Out of 25 Marks, internal assessment carries 5 marks, and the final examination at the end of the
semester carries 20 marks.
Internal assessment will be based on day to day performance of the students in the laboratory,
viva voice of each experiment, regularity in the class, and number of experiments performed.
The candidate is to mark three experiments on the question paper. The examiner will allot one
experiment to be performed. The distribution of marks is given below:
1. One full experiment requiring the student to take some data, analyse it and draw
conclusions-(candidates are expected to state their results with limits of error).
2. Viva-Voce
3. Record (Practical File)
(12)
(04)
(04)
List of Exercises:
1. Analysis of the given mixture containing six radicals with at least one interfering
(PO4 3-Oxalate, Tartarate)
2. Volumetric Analysis:
3. Acid-Alkali/Base: Involving use of one of one indicator and two indicators.
(i)
Oxidation-Reduction: KMnO4/K2Cr2O7 Titrations.
(ii)
Iodimetry/Iodometry: Volumetric titrations
4. Gravimetric Determinations
a. Ni2+ (as DMG)
Suggested Books:
1. Svehla G., Vogel’s Qualitative Inorganic Analysis (revised); 7th edition, Pubs: Orient
Longman, 1996.
2. Bassett, J., Denney, R.C., Jeffery, G.H., Mendham, J., Vogel’s Textbook of Quantitative
Inorganic Analysis (revised); 4th edition, Pubs: Orient Longman 1978.
3. Palmer, W.G., Experimental Inorganic Chemistry; 1st edition, Pubs: Cambridge, 1954.
4. Bassett, J., Denney, R.C., Jeffery, G.H., Mendham, J., Vogel’s Textbook of Quantitative
Chemical Analysis (revised); 5th edition, Pubs: Longman Scientific and Technical, 1989.
MATHS 1.2.7: LINEAR ALGEBRA
Maximum Marks:
External 80
Internal 20
Total
100
Time Allowed: 3 Hours
Total Teaching hours: 90
Pass Marks: 35 %
Out of 100 Marks, internal assessment (based on two mid-semester tests/internal examinations,
written assignment/project work etc. and attendance) carries 20 marks, and the final examination
at the end of the semester carries 80 marks.
Instruction for the Paper Setter: The question paper will consist of three sections A, B and C.
Each of sections A and B will have four questions from respective sections of the syllabus.
Section C will have 10 short answer type questions, which will cover the entire syllabus
uniformly. Each question of sections A and B carry 15 marks. Section C will carry 20 marks.
Instruction for the candidates: The candidates are required to attempt two questions each from
sections A and B, and the entire section C. Each question of sections A and B carries 15 marks
and section C carries 20 marks.
Use of nonprogrammable calculator is allowed in the examination centre but this will not be
provided by the University/College.
SECTION – A
Vector spaces over R and C, subspaces, linear span of vectors, linear independence and
dependence, basis and dimension. Row rank, Column rank and Determinantal rank of a matrix.
Elementary row and column operations. Elemetary matrices. Row echelon form of a matrix.
Equivalence of matrices. Reduction to normal form under equivalence(method only). The
equality of three ranks(statement only). Methods of solving a system of equations with special
reference to Gauss method, Matrix Inversion. Linear transformations. Rank and Nullity of a
linear transformation, Inverse of a Linear Transformation. Rank and Nullity Theorem and its
consequences. Matrix of a linear transformation with respect to a given basis.
[Scope as in Chapters 3(Sections 3.1-3.6), 4(Sections 4.1-4.5), 5(Sections 5.1, 5.2, 5.7-5.9) of the
book ‘Introduction to Linear Algebra’ by V. Krishnamurthy, V.P.Mainra and J. L. Arora, EastWest Press Pvt. Ltd.]
SECTION – B
Cayley-Hamilton Theorem. Characteristic roots and Characteristic vectors of a square matrix.
Nature of roots of different type of matrices, Minimal polynomial of a matrix.
Similarity of matrices, similarity reduction to a diagonal form, diagonalizable matrix, orthogonal
reduction of real symmetric matrices. Unitary reduction of a Hermitian matrix (for these three
reductions only the methods are expected to be taught. no proofs are expected to be taught).
[Scope as in Chapters 2 (Sections 2.16-2.19), 11 (Sections 11.1-11.4, 11.7, 11.8), 12 (Sections
12.1- 12.3), 13 (Sections 13.1-13.4) of the book ‘A Text Book of Matrices’ by Shanti Narayan
and P. K. Mittal, 10th edition, S. Chand & Co.]
References
1. V. Krishnamurty, V.P. Mainra and J. L. Arora, Introduction to Linear Algebra, East-West
Press Pvt. Ltd. 1976.
2. 2Shanti Narayan and P. K. Mittal , A textbook of Matrices, S. Chand & Co., 2010.