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SCHEME B.Sc. PHYSICS (HONOURS) PARTI (I & II SEMESTER) 2015-2016, 2016-2017 SESSION Code Title of Paper Hours (Per Week) Max Marks Examination Time (Hours) SEMESTER I Total Ext. Int. MAJOR COURSES 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 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 SEMESTER II MAJOR COURSES 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 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

Transcript of SCHEME - pupdepartments.ac.inpupdepartments.ac.in/syllabi/Old Syllabi [For Reference and...

  • SCHEME

    B.Sc. PHYSICS (HONOURS) PARTI (I & II SEMESTER) 2015-2016, 2016-2017 SESSION

    Code Title of Paper Hours (Per Week)

    Max Marks Examination Time (Hours)

    SEMESTER I

    Total Ext. Int.

    MAJOR COURSES

    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

    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

    SEMESTER II

    MAJOR COURSES

    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

    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 Time Allowed: 3 Hours

    Internal 15 Total Teaching hours: 45

    Total 75 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 Eulers 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 Time Allowed: 3 Hours

    Internal 15 Total Teaching hours: 45

    Total 75 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, Eulers 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, Coulombs Law, Energy

    of a system of charges. Flux and Gausss 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, Gausss

    theorem and differential form of Gausss law, Laplacian and Laplaces equation, Poissons

    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, Ohms law,

    Electrical conduction model, Failure of Ohms 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 Time allowed: 3 Hours

    Pass Marks: 45% 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). (20)

    2. Brief theory (06) 3. Viva-Voce (08) 4. Record (Practical File) (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. 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.

    2. 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. 3. Determination of g by Kater's pendulum. 4. Determination of g by free-fall method using electronic timer. 5. To study moment of inertia of a flywheel. 6. Determination of height (of inaccessible structure) using sextant. 7. Determination of modulus of rigidity by static method. 8. Determination of modulus of rigidity by (i) dynamic method Maxwell's needle/Torsional

    pendulum; (ii) Forced torsional oscillations excited using electromagnet.

    9. Determination of coefficient of viscosity of a given liquid by Stoke's method. Study its temperature dependence.

    10. To determine the Young's modulus by (i) bending of beam using traveling microscope/laser, (ii) Flexural vibrations of a bar.

  • 11. To study one dimensional collision using two hanging spheres of different materials. 12. Dependence of scattering angle on kinetic energy and impact parameter in Rutherford

    scattering (mechanical analogue).

    13. To measure the coefficient of linear expansion for different metals and alloys. 14. Determination of E.C.E. of hydrogen and evaluation of Faraday and Avogadro constants. 15. 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.

    16. To determine the frequency of A.C. mains using sonometer. 17. To study given source of electrical energy and verify the maximum power theorem. 18. To determine the resistance of an electrolyte for A.C current and study its concentration

    dependence. Also to study temperature dependence.

    19. Study of temperature dependence of conductor and semiconductor (FET channel). 20. To measure thermo e.m.f. of a thermocouple as a function of temperature and find

    inversion temperature.

    21. 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.

    22. To plot the Lissajous figures and determine the phase angle by C.R.O. 23. To study B-H curves for different ferromagnetic materials using C.R.O. 24. Determination of given inductance by Anderson's bridge. 25. Determination of low inductance by Maxwell-Wein bridge. 26. 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.

    27. To study temperature coefficient of resistance of Cu. 28. Study of R.C. circuit with varying e.m.f. using it as an integrating circuit. 29. Study of R.C. circuit with a low frequency a.c. source. 30. Studies based on LCR Board: Impedance of LCR circuit and the phase and between

    voltage and current.

    31. To measure Laser beam parameters for a He-Ne laser and semiconductor LASER. 32. To study diffraction from single slit, double slit and diffraction grating. Study of

    diffraction patters using mesh, wire, scale graduations, screw and various apertures.

    33. (a) To study Photoelectric effect using Photocell (b) inverse-square law (concept of solid angle).

    34. To study Maluss law of polarization.

  • 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. Perspectives: Selections from Modern English Prose and Fiction, edited by S.A. Vasudevan and M. Sathya Babu, Published by Orient Longman.

    2. 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) Five short-answer questions to be attempted out of seven. Each answer should be written

    in 25 to 30 words.

    52=10 Marks

    Q.2 (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.

    23=6Marks

    Q.3 (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.

    22=5 Marks

    SECTION B : SIX ONE-ACT PLAYS

    Q.4 (a) One essay type question on character, incident/episode or theme with internal alternative.

    The answer should not exceed 250 words.

    15 Marks

    (b) Five short-answer questions to be attempted out of seven. Each answer should be written

    in 25 to 30 words.

    52=10 Marks

  • CHEMS 1.1.5: GENERAL CHEMISTRY-I

    Maximum Marks: External 60 Time Allowed: 3 Hours

    Internal 15 Total Teaching hours: 45

    Total 75 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

    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.

    Kirchoffs equation.

    Second and Third Law: Various statements of the second law of thermodynamics. Efficiency of

    a cyclic process (Carnots 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, Vant Hoff reaction isotherm. Relation between

    Kp, Kc and Kx. Temperature dependence of equilibrium constant-Vant Hoff equation,

    homogeneous & heterogreneous equilibria, Le Chetaliers 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.

    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 Time allowed: 3 Hours

    Pass Marks: 45% 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). (12)

    2. Viva-Voce (04) 3. Record (Practical File) (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.).

    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

    Phthalic acid from hot water (using fluted filter paper and stemless funnel)

    Acetanilide from boiling water

    Naphthalene from ethanol

    Benzoic acid from water.

    1. Vogel A.I., Tatchell A.R., Furnis B.S., Hannaford A.J., Smith P.W.G.,Vogels 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 Time Allowed: 3 Hours

    Internal 20 Total Teaching hours: 90

    Total 100 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. Fubinis 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 Stokes

    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+Cy

    2 +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 Time Allowed: 3 Hours

    Internal 15 Total Teaching hours: 45

    Total 75 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

    Newtons 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, Foucaults 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 Time Allowed: 3 Hours

    Internal 15 Total Teaching hours: 45

    Total 75 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, Gausss 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. Rowlands 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 Maxwells equations.

  • Alternating Current Circuits: A resonance circuit, Alternating current, A.C. networks,

    Admittance and impedance, skin effect, power and energy in A.C. circuits, Andersons 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), 2

    nd 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 Time allowed: 3 Hours Pass Marks: 45% 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). (20)

    2. Brief theory (06) 3. Viva-Voce (08) 4. Record (Practical File) (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. 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.

    2. 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. 3. Determination of g by Kater's pendulum. 4. Determination of g by free-fall method using electronic timer. 5. To study moment of inertia of a flywheel. 6. Determination of height (of inaccessible structure) using sextant. 7. Determination of modulus of rigidity by static method. 8. Determination of modulus of rigidity by (i) dynamic method Maxwell's needle/Torsional

    pendulum; (ii) Forced torsional oscillations excited using electromagnet.

    9. Determination of coefficient of viscosity of a given liquid by Stoke's method. Study its temperature dependence.

    10. To determine the Young's modulus by (i) bending of beam using traveling microscope/laser, (ii) Flexural vibrations of a bar.

  • 11. To study one dimensional collision using two hanging spheres of different materials. 12. Dependence of scattering angle on kinetic energy and impact parameter in Rutherford

    scattering (mechanical analogue).

    13. To measure the coefficient of linear expansion for different metals and alloys. 14. Determination of E.C.E. of hydrogen and evaluation of Faraday and Avogadro constants. 15. 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.

    16. To determine the frequency of A.C. mains using sonometer. 17. To study given source of electrical energy and verify the maximum power theorem. 18. To determine the resistance of an electrolyte for A.C current and study its concentration

    dependence. Also to study temperature dependence.

    19. Study of temperature dependence of conductor and semiconductor (FET channel). 20. To measure thermo e.m.f. of a thermocouple as a function of temperature and find

    inversion temperature.

    21. 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.

    22. To plot the Lissajous figures and determine the phase angle by C.R.O. 23. To study B-H curves for different ferromagnetic materials using C.R.O. 24. Determination of given inductance by Anderson's bridge. 25. Determination of low inductance by Maxwell-Wein bridge. 26. 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.

    27. To study temperature coefficient of resistance of Cu. 28. Study of R.C. circuit with varying e.m.f. using it as an integrating circuit. 29. Study of R.C. circuit with a low frequency a.c. source. 30. Studies based on LCR Board: Impedance of LCR circuit and the phase and between

    voltage and current.

    31. To measure Laser beam parameters for a He-Ne laser and semiconductor LASER. 32. To study diffraction from single slit, double slit and diffraction grating. Study of

    diffraction patters using mesh, wire, scale graduations, screw and various apertures.

    33. (a) To study Photoelectric effect using Photocell (b) inverse-square law (concept of solid angle).

    34. To study Maluss law of polarization.

  • SUBSIDIARY COURSES: PHYSICS (HONOURS)

    HUMS 1.2.4: PUNJABI

    Maximum Marks: External 80 Time Allowed: 3 Hours

    Internal 20 Total Teaching hours: 50 Total 100 Pass Marks: 35 %

    : , . . : (1) - : , (2) :

    (i) ,, , ,

    (ii) : , , , , , , ,

    1) 2) , 3) :

    (i) --// ( ) 14 (ii) ( ) 2x6=12

    4) 1 ( ) 12 2 12

    5) 15 ( 7 8) 2 15x2=30

  • - 1. , , , , 1973. 2. , ( ), ,

    , 2000. 3. , : , , , 2008. 4. , , , , 2002. 5. , , , , 1996. 6. , , , , 2002. 7. , , (, ), , 8. , , , , 1999. 9 ( ), , . 10. . , , , .

  • CHEMS 1.2.5: GENERAL CHEMISTRY-II

    Maximum Marks: External 60 Time Allowed: 3 Hours

    Internal 15 Total Teaching hours: 45

    Total 75 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

    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. Werners 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 Time allowed: 3 Hours

    Pass Marks: 45% 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). (12)

    2. Viva-Voce (04) 3. Record (Practical File) (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.

    (iii) Oxidation-Reduction: KMnO4/K2Cr2O7 Titrations. (iv) Iodimetry/Iodometry: Volumetric titrations

    4. Gravimetric Determinations a. Ni2+ (as DMG)

    Suggested Books:

    1. Svehla G., Vogels Qualitative Inorganic Analysis (revised); 7th edition, Pubs: Orient Longman, 1996.

    2. Bassett, J., Denney, R.C., Jeffery, G.H., Mendham, J., Vogels 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., Vogels Textbook of Quantitative

    Chemical Analysis (revised); 5th edition, Pubs: Longman Scientific and Technical, 1989.

  • MATHS 1.2.7: LINEAR ALGEBRA

    Maximum Marks: External 80 Time Allowed: 3 Hours

    Internal 20 Total Teaching hours: 90

    Total 100 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, East-

    West 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.