GANPAT UNIVERSITY FACULTY OF SCIENCE … of Group theory for physics A. W. Joshi, ... Statistical Mechanics and Properties of Matter by E.S. Raja Gopal,Mc Millan Company of ... Mobile

GANPAT UNIVERSITY

FACULTY OF SCIENCE

TEACHING AND EXAMINATION SCHEME Programme Master of Science Branch/Spec. Physics

Semester I

Effective from Academic Year 2015-16 Effective for the batch Admitted in July 2015

Subject Code Subject Name

Teaching scheme Examination scheme (Marks)

Credit Hours (per week) Theory Practical

Lecture(DT) Practical(Lab.) Lecture(DT) Practical(Lab.) CE SEE Total CE SEE Total

L TU Total P TW Total L TU Total P TW Total

MPHY1 MMP Mathematical Methods in Physical Science

3 1 4 --- --- --- 3 1 4 --- --- --- 40 60 100 --- --- ---

MPHY1 SAN Statistical Mechanics and Nuclear Physics

3 1 4 --- --- --- 3 1 4 --- --- --- 40 60 100 --- --- ---

MPHY1 SAE Solid State Physics and Electronics

3 1 4 --- --- --- 3 1 4 --- --- --- 40 60 100 --- --- ---

MPHY1 CMP Computer Programming andLanguageC

3 1 4 --- --- --- 3 1 4 --- --- --- 40 60 100 --- --- ---

MSEL1 MIS OR MSEL1 SMP

Magnetism in Solids OR Soft Matter Physics

2 0 2 --- --- --- 2 0 2 --- --- --- 40 60 100 --- --- ---

MPHY1 PRA Practical Module-I --- --- --- 6 0 6 --- --- --- 12 0 12 --- --- --- --- 200 200

Total 14 4 18 6 0 6 14 4 18 12 0 12 200 300 500 --- 200 200

GANPAT UNIVERSITY FACULTY OF SCIENCE

REVISION OF TECHING & EXAMINATION SCHEME AND SYLLABUS Programme Master of Science Branch/Spec. Physics

Semester I Academic Council Approved Syllabus (in which the revision is carried out)

Notification No

Date

Effective from Academic Year 2015 -16 Effective for the batch Admitted in July 2015

Subject code Subject Name Revision in Full Syllabus (Yes/No)

Revision in Teaching Scheme(Yes/No)

Revision in Exam Scheme(Yes/No)

Revision in Content (Yes/No)

Percentage of changes if content revision

MPHY1 MMP Mathematical Methods in Physical Science

NO NO NO NO NO

MPHY1 SAN Statistical Mechanics and Nuclear Physics

NO NO NO NO NO

MPHY1 SAE Solid State Physics and Electronics

NO NO NO NO NO

MPHY1 CMP Computer Programming and Language C

NO NO NO NO NO

MSEL1 MIS OR MSEL1 SMP

Magnetism in Solids OR Soft Matter Physics

NO NO NO NO NO

MPHY1 PRA Practical Module-I NO NO NO NO NO

NEED OF REVISION:

GANPAT UNIVERSITY

FACULTY OF SCIENCE Programme Master of Science Branch/Spec. Physics

Semester I Version 1.0.0.0


Subject code MPHY1 MMP

Subject

Name

Mathematical Methods in Physical Science


(Per week) Lecture(DT

)

Practical(Lab.) Total CE SEE Total

L TU P TW

Credit 03 01 -- -- 04 Theory 40 60 100

Hours 03 01 -- -- 04 Practical -- -- --

Pre-requisites:

Students should have basic knowledge of under graduate mathematical physics.

Learning Outcome:

Students learn different mathematical methods to solve physical problems of different fields.

Theory syllabus

Unit Content Hrs

1

1.1

PARTIAL DIFFERENTIAL EQUATIONS: Heat diffusion equation and wave equation in Physics, Separation of variable technique to

solve them, Green’s function technique in general and especially for Poisson’s equation. 6

1.2

Second order differential Equations Ordinary and singular points (3.1). Series solution around and ordinary point (3.2), Series

Solution around a regular singular point (The method of Forbenius) (3.3). 6

2

2.1

Function of a Complex Variable : Introduction, Analytic functions, Contour Integrals, Laurent series, Residue Theorem,

Methods of Finding, Residues, Evaluation of Definite Integrals by use of the Residue

theorem, The point of Infinity, residue of infinity, Mapping, Some Applications of

conformal mapping.

7

2.2

Integral Transforms: Introduction, Laplace Transforms, Solution of Differential Equation by Laplace

Transforms, Fourier Transforms, Convolution: Parseval's Theorem, Inverse Laplace

Transform (Bromwich Integral), the Dirac delta function, Green functions, Integral

transform solutions of partial differential equations.

7

3 3.1

Special Functions Legendre differential equation (6.1), Generating Function of Legendre Polynomial (6.2),

Rodriguez’s formula for Legendre Polynomial (6.3), Orthogonal properties of Legendre

Polynomial (6.4), Hermite differential equation and Hermite Polynomial (6.11),

Generating function of Hermite Polynomial (6.12), Recurrence formula for Hermite

Polynomial (6.13), Rodriguez’s formula for Hermite Polynomial (6.14).

11

4 4.1

Curvilinear Coordinates General Curvilinear coordinates (10.8) Vector operators in orthogonal Curvilinear

Coordinates (10.9) Note: The expressions for Divergence and curl are not to be derived

but directly expressions are to be given.

8

Reference Books

1. Mathematical Methods in Physical Sciences by M. L. Boas 2nd edition, Jhon I Wiley & Sons.

2. Mathematical methods for physicists : G. B. Arfken and H. J. Weber 5th edition Academic Press/Elsevier

science, India 2000.

3. Mathematical methods for physics and engineering K. F. Riley, M. P. Hobson and S. J. Bence, Cambridge

university press 1998 (Low-price edition)

4. Advanced Engineering Mathematics Kreyzing 8th edition, 2006, John Wiley & Sons (Asia Pvt.), Singapore.

5. Mathematical physics P. K. Chattopadhyay: 1990, New age international publisher New Delhi.

6. Elements of Group theory for physics A. W. Joshi, 4th edition reprint 2002 New age international publishers,

New Delhi

7. Mathematics of Classical and Quantum Physics vol. I and II by Robert W. Fuller, Frederick W. 1992 Courier

Dover Publications, NY, USA

8. Mathematical methods for physical sciences by M. L. Boas, 3rd edition 2006, John Wiley and Sons, New

York (2nd Ed. 1983)

9. Advanced mathematical methods for scientists and engineers Carl M. Bender and Steven A. Oraszag,

Springer, 1999

10. Complex analysis: Churchil

GANPAT UNIVERSITY




Subject code MPHY1 SAN

Subject Name Statistical Mechanics and Nuclear Physics



)


L TU P TW

Credit 03 01 -- -- 04 Theory 40 60 100

Hours 03 01 -- -- 04 Practical -- -- --

Pre-requisites:

Students should have basic knowledge of under graduate Statistical Mechanics and Nuclear Physics.

Learning Outcome:

Students learn some concept in statistical mechanics and Quantum statistics. They also learn two-body problem

in nuclear physics and nuclear reaction in detail.

Theory syllabus

Unit Content Hrs

1

1.1

Some concept in statistical mechanics and Quantum statistics : Ergodic Hypothesis, Density distribution in phase space, The Liouville Theorem,

Principle of conservation of density in phase space and principle of conservation of

extension in phase space, Condition for statistical equilibrium, Density matrix, Liouville

Theorem in quantum statistical mechanics, Condition for statistical equilibrium (in quan

statistics), Ensembles in quantum mechanics.

10

2 2.1

Ideal Bose and Fermi system and Transport phenomena ; Photon gas, Einstein derivation of Planck's law, Bose-Einstein condensation, Fermi

energy, An alternate derivation of Fermi energy, Mean energy of fermions at absolute

zero, Fermi gas in metals, Fermi energy as a function of temperature, White dwarfts,

Compressibility of a Fermi gas, Mean collision time, Thermionic emission, Photoelectric

effect, Molecular collisions, Einstein relation for mobility, Distribution function,

Boltzmann transport equation, Boltzmann H-theorem in Q.M. , Maxwell-Boltzmann

distribution from Boltzmann equation.

10

3

3.1

Two-body problem in nuclear physics : Introduction, The ground state of the Deuteron, Excited states of the Deuteron, Neutron-

Proton scattering at low energy, Scattering length, Spin-dependence of Neutron-Proton

scattering, Singlet n-p system, Effective range theory in n-p scattering, Significance of the

sign of the scattering length, Tensor force and the Deuteron problem, Proton-Proton

scattering at low energy, Analysis of n-p and pp scattering, Interpretation of p-p and n-n

scattering. .

10

3.2

Nuclear Reactions: Nuclear reactions and cross section, Resonance: Breit-Wigner dispersion formula for l =

0, The compound nucleus, The continuum theory of cross section σc, Statistical theory of

Nuclear reactions.

5

4 4.1

Elementary Particles: Classification of elementary particles, type of interaction, Baryon number, lepton number,

parity, charge conjugation and time reversal, CPT theorem, charge independence nuclear

forces, Isospinm consequences of Isospin, G-Parity, Strange particles, associated

prediction, Gell-Mann Nishijima scheme, Neutral K- meson, strangenees, oscillations (?)

hypercharge, CP-violation in K- decay, Ispin and SU(2) and SU(3) ,Baryon and meson

multiplates, Gell-mann Okubo mass formula. Quark model flavour and colour.

10

Reference Books

1. Fundamentals of statistical mechanics by B. B. Laud, 1998, New age international (P) LTD, (For III&IV)

Publishers, New Delhi.

2. Statistical Mechanics by S.K. Sinha, Tata McGraw Hills.

3. Statistical Mechanics and Properties of Matter by E.S. Raja Gopal,Mc Millan Company of India Limited.

4. Nuclear Physics by Roy arid Nigam: Pub : New age International Ltd. New Delhi

5. Introduction to high energy physics by D. H. Perkins 3r edition Cambridge Uni. Press Elementary particles

by I. H. Hughes, Cambridge Uni. Press.

6. Nuclear Physics by I Kaplan, Narosa Pub.

7. Introduction to Nuclear Physics by H.A.Enge, Addition-Wesley

GANPAT UNIVERSITY




Subject code MPHY1 SAE

Subject Name Solid State Physics and Electronics



)


L TU P TW

Credit 03 01 -- -- 04 Theory 40 60 100

Hours 03 01 -- -- 04 Practical -- -- --

Pre-requisites:

Students should have basic knowledge of under graduate Solid State Physics and Electronics.

Learning Outcome:

Students learn the basic difference between different amplifying using transistor and IC. They also learn

different models for band theory.

Theory syllabus

Unit Content Hrs

1

1.1

Electron Energy Bands : Consequences of Periodicity –Bloch Theorem, Periodicity of Bloch Function and their

eigenvalues, Wave mechanical Interpretation of Energy Bands, The Kronig-Penney

Model, The Nearly Free Electron Model, Zone Scheme for Energy Bands, Energy Bands

in a General Periodic Potential, Insulators-Semiconductor and Metals, The Tight –binding

Approximation, The Wigner-Seitz Cellular Method.

10

2 2.1

Mobile Electrons and Fermi Surfaces : Concept of Holes, Effective Mass, Construction of the Fermi Surfaces, Electrons in a

Uniform Magnetic Field –Free Electrons and Bloch Electrons, Anomalous Skin Effect,

Cyclotron Resonance-Semiconductor and Metals, Closed Orbits and Open Orbits, de

Hass – van Alphen Effect.

8

3

3.1

Power Amplifiers : Introduction, Difference between Voltage and Power amplifiers, Performance quantities

of power amplifiers, Class-A power amplifier, and power distribution, Transformer

coupled class –A amplifier, Power consideration and dissipation, Class-B power

amplifier, Class-A Push-Pull power amplifier, Class-B Push-Pull amplifier, Tuned

amplifiers, Single tuned inductively coupled transistor amplifier, Double tuned transistor

amplifier.

10

3.2 Multivibrators: Multivibrators, Astable multivibrator, Monostable multivibrator, Bistable multivibrator. 5

4 4.1

Operational Amplifiers : Basic Concepts, Ideal operational amplifier, Practical Inverting and Non-Inverting OP-

AMP, Characteristics of OP-AMP, Differential Amplifier, Some Op-AMP Parameters,

Effects of offset, Frequency Response and Stability, Applications of OP-AMP: As a Scale

Changing- Phase Shifting and Summing amplifier, Voltage Follower, Integrator,

Differentiator, Logarithmic and Antilogarithmic amplifier, Bridge amplifier, Schmitt

12

Trigger, Saw-tooth wave generator, The 555 IC Timer-as a Monostable and Astable

multivibrator, Bootstrap Sweep generator.

Reference Books

1Elements of Solid state Physics by J.P.Srivastava, PHI, New Delhi.

2. Hand Book of Electronics by Gupta and Kumar, Pragiti Prakashan Meerut.

3. Electronics and Radio Engineering by M.L. Gupta, D.R. Pub.Co. New Delhi.

4. Integrated Circuits by K.R.Botkar Khanna Pub.

5. Electronics fundamental and applications by John D Ryder, PHI.

6. Integrated Electronics by Millman and Halkias,Int. Student/s Edition .

7. OP-AMPs and Linear Integrated Circuits by R.A. Gayakwad, PHI Pub.

8. Basic Electronics and Linear Circuits by N.N.Bhargava, D.C.Kulshreshtha, S.C.Gupta.

9. Electronic Devices and Circuits by A.Mottershead Prentice – Hall of India.

GANPAT UNIVERSITY

FACULTY OF SCIENCE Programme Master of Science Branch/Spe

c.

Physics



Subject code MPHY1 CMP

Subject

Name

Computer Programming and Language-C



)


L TU P TW

Credit 03 01 -- -- 04 Theory 40 60 100

Hours 03 01 -- -- 04 Practical -- -- --

Pre-requisites:

Students should have basic knowledge of computer.

Learning Outcome:

Students learn basic scientific programme using C language.

Theory syllabus

Unit Content Hrs

1

1.1 Decision making and Looping: Introduction while statement, do statement, do while, for statement, jumps in loops –

continue and break statements. 5

1.2

Arrays: Introduction, One dimensional arrays, declaration and initialization of arrays one

dimensional array, two dimensional arrays, initialization of two dimensional arrays,

multidimensional arrays.

5

2

2.1

Character Arrays and Strings : Declaring and initializing string variables, reading and writing strings, arithmetic

operations on characters, Putting Strings together, comparison of two Strings, String

handling functions, Table of strings, other features of strings.

5

2.2

Functions : Need for user defined functions, A multi-function program, Elements of user defend

functions, Definition of functions, return values and their types, Function Calls, Function

Declaration, category of functions, No argument and no return values, Arguments but no

return values, Arguments with return values, No arguments but returns avalue,Functions

that returns multiple values, nesting of functions, recursion.

8

3

3.1

Structures and Unions : Introduction, Defining a structure, Declaring structure variables, Accessing structure

members, Structure initialization, copying and comparing structure variables, Operation

on individual members, Arrays of structure, Arrays within structure, Structures within

structures, Structures and functions, Unions, Size of structures, Bit fields

6

3.2 Pointers : Concept, accessing the address of variables, declaring and initializing pointers,

accessing variables through pointers, pointer expressions, pointer increments and scale

factor, pointers and arrays, pointer and character strings, pointers and functions, pointers

6

and structures

4

4.1

File management in C: Defining and Opening a File, Closing a File, I/O operations on Files, Error handling

during I/O operations, Random Access to Files, Command Line Arguments. 5

4.2

Developing a C program: Program Design, Program Coding, Common Programming Errors, Program Testing and

Debugging, Program Efficiency. 5

Reference Books

1. Balagurusamy E., Programming in ANSI C (IIInd Ed.), TMH Pub.

2. P. Day and M.Ghosh, Programming in C, Oxford Univ. Press, 2007

3. Gottfried B.S.Programming with C

4. Kochan S.G Programming in C, CBS Pub.

5. Kenetker Y., Let us C, BPB Pub.

6. Kernighan B.W. and Ritchie D.K., C Programming language, PH Pub.

7. Stan Kelly - Bootle, Mastering Turbo C, BPB Pub.

GANPAT UNIVERSITY


c.

Physics



Subject code MSEL 1 MIS

Subject

Name

Magnetism in Solids



)


L TU P TW

Credit 02 00 -- -- 02 Theory 40 60 100

Hours 02 00 -- -- 02 Practical -- -- --

Pre-requisites:

Students should have basic knowledge of solid state physics.

Learning Outcome:

Students learn different type of magnetic material and concept of superconductivity and its applications.

Theory syllabus

Unit Content Hrs

1

1.1

Magnetic terminology, Intensity of magnetization, Magnetic field intensity, Magnetic

susceptibility, Magnetic permeability, Types of magnetic materials (Dia, Para, Ferro,

Antiferro, ferri) Behaviour of magnetic materials in presence of magnetic field, Temp.

Dependence of susceptibility, Types of energy involved in process of domain theory.

Domain theory of ferromagnetism. Reversible & irreversible domains, Hysteresis,

Explanation of basic of domain theory

15

2 2.1

Review of band structure and superconductivity. General properties of superconductor,

Electrical resistance, Meissner effect, critical field and critical temperature, type one and

two super conductor thermodynamic. Optical properties (entropy sp.heat energy gap,

isotope effect & flux quantization, brief idea about Josephson effect, tunnelling, BCS

theory (Qualitative aspect). Introduction to high temperature super conductors,

Applications.

15

Reference Books

Solid State Physics – R. K. Puri and V. K. Babbar S. Chand & Co. Ltd. 1997

GANPAT UNIVERSITY


c.

Physics



Subject code MSEL 1 SMP

Subject

Name

Soft Matter Physics



)


L TU P TW

Credit 02 00 -- -- 02 Theory 40 60 100

Hours 02 00 -- -- 02 Practical -- -- --

Pre-requisites:

Students should have basic knowledge of material science.

Learning Outcome:

Students learn physics of soft materials and polymers.

Theory syllabus

Unit Content Hrs

1

1.1

Introduction to soft materials, physics of soft materials-intermolecular forces, dynamics,

structural organizations. Experimental techniques to study soft materials – light and X-ray

scattering, mechanical properties, viscoelasticity measurement (Rheology) and optical

properties (simple microscope, confocal microscope, birefringence).

15

2 2.1

Polymers, Colloids, Amphiphiles, gels and emulsions, Liquid Crystal, biological soft

matter – membranes, DNA, properties, polysaccharides. Applications and uses of soft

materials. 15

Reference Books

Introduction to soft matter – synthetic and biological self-assembling materials Author: lan W. Hamley Pub:

John Wiley and Sons.

GANPAT UNIVERSITY


c.

Physics



Subject code MPHY1 PRA

Subject

Name

Practical Module-I



)


L TU P TW

Credit -- -- 06 -- 06 Theory -- -- --

Hours -- -- 12 -- 12 Practical -- 200 200

Pre-requisites:

Students should have practical knowledge up to under graduate level.

Learning Outcome:

Students can visualise theoretical out comes through experiments.

Practical content

1. e/m by Magnetron Valve

2.Temperature Co-efficient of Platinum resistance Thermometer by

Carry Foster or C.G. Bridge.

3. Study of Hall Effect.

4. Study of hysteresis of Anchor ring / transformer using C.R.O.

5. E.B.Plate (Determination of unknown wavelength and air gap).

6. F.P. Interferometer.

7.Computer Lab -1

8.Computer Lab -2

9Transistorized R.C. Phase shift Oscillator.

10UJT as a Relaxation Oscillator.

11.Astable Multivibrator.

12.Study of Power Amplifier.

13.FET amplifier.

14.Inverting OP-AMP.

15.Differential Amplifier.

16.Regulated Power Supply (78xx & 79xx)

Documents

GANPAT UNIVERSITY FACULTY OF SCIENCE … of Group theory for physics A. W. Joshi, ... Statistical Mechanics and Properties of Matter by E.S. Raja Gopal,Mc Millan Company of ... Mobile