M.Sc. (APPLIED Physics) PART I (I & Ii Semester)

SCHEME

M.Sc. (APPLIED Physics) PART – I (i & ii semester)

2016-2017 & 2017-2018 sessions

Code / Title of Paper / Hours
(Per
Week) / Max Marks / Examination
Time (Hours)
Semester – i / Total / Ext. / Int. / Total
Core Papers
AP 1.1.1 / Applied Mathematics / 4 / 80 / 60 / 20 / 3
AP 1.1.2 / Nuclear Science / 4 / 80 / 60 / 20 / 3
AP 1.1.3 / Classical Mechanics / 4 / 80 / 60 / 20 / 3
Elective Papers*
AP 1.1.4 / (i) Analog Electronics
(ii) Remote Sensing
(iii) Microwave and its Propagation / 4 / 80 / 60 / 20 / 3
AP 1.1.5 / Laboratory Practice:
i) Electronics Lab
ii) Laser-Optics Lab / 7 / 80 / 60 / 20 / 3
AP 1.1.6 / Computer Laboratory / 2 / 40 / 30 / 10 / 3
AP 1.1.7 / Workshop (Mechanical/Optical) / 5 / 60 / 45 / 15 / 3
Semester – II
Core Papers
AP 1.2.1 / Digital Electronics / 4 / 80 / 60 / 20 / 3
AP 1.2.2 / Radiation Physics / 4 / 80 / 60 / 20 / 3
AP 1.2.3 / Quantum Mechanics / 4 / 80 / 60 / 20 / 3
Elective Papers*
AP 1.2.4 / (i) Applied Optics
(ii) Mathematical Physics and Classical Mechanics
iii) Computer Fundamentals and Programming with C++ / 4 / 80 / 60 / 20 / 3
AP 1.2.5 / Laboratory Practice:
i) Electronics Lab
ii) Laser-Optics Lab / 7 / 80 / 60 / 20 / 3
AP 1.2.6 / Computer Laboratory / 2 / 40 / 30 / 10 / 3
AP 1.2.7 / Workshop(Mechanical/Optical) / 5 / 60 / 45 / 15 / 3

NOTE: Only one Elective paper will be offered depending on the availability of staff.*

Semester – I

AP 1.1.1 APPLIED MATHEMATICS

Maximum Marks: External 60 Time Allowed: 3 Hours

Internal 20 Total Teaching hours: 50

Total 80 Pass Marks: 35%

Out of 80 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 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 section 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 carries 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 scientific calculator is allowed.

SECTION A

Gamma and Beta functions: Definition and their relations

Bessel functions: Series solutions of Bessel's differential equation recurrence relations, Evaluation of Jn(x) for half-integral, generating function, Orthogonality (statement only).

Legendre Polynomials: Series solution of Legendre differential equation, Rodrigue and recurrence formulae, Generating function; Associated Legendre equation and polynomials;

Hermite polynomials: Series solution of Hermite differential equation, Hermite polynomials, Generating functions, Recurrence relations, Orthogonality (statement only), Simple integral involving Hermite polynomials.

Laplace transforms: Definition, Laplace transform of elementary functions, Basic theorems of Laplace transforms, Inverse Laplace transforms, its properties and related theorems, Convolution theorem, Use of Laplace transforms in the solution of differential and integral equations, Evaluation of integrals using Laplace transforms.

Fourier series and transform: Dirichlet conditions, Expansion of periodic functions in Fourier series, Sine and cosine series, The finite Fourier sine and cosine transforms, Complex form of Fourier series, Fourier integral theorem and Fourier transform, Parseval's identity for Fourier series and transforms.

SECTION B

Partial differential equations: One dimensional wave equation, The vibrating string fixed at both ends, D'Alembert and Fourier series solutions, Vibrations of a freely hanging chain, Two dimensional wave equation in rectangular membrane, Wave equation in the two dimensional polar coordinates and vibrations of a circular membrane, 3-D wave equation and its solution, Equation of heat conduction, Two dimensional heat conduction, Temperature distribution in a rectangular and circular plate, 3-D heat conduction equation.

Evaluation of polynomials: Horner's method; Root finding: Fixed point iteration, Bisection method, Regula falsi method, Newton method, Error analysis; System of linear equations: Gauss elimination, Gauss Seidel method, Interpolation and Extrapolation: Lagrange's interpolation, least square fitting; Differentiation and Integration: Difference operators, Simpson and trapezoidal rules; Ordinary differential equation: Euler method, Taylor method.

Text Books:

1. Applied Mathematics: L.A. Pipes and Harwill, Mc Graw Hill Publication

2. Mathematical Physics: G.R.Arfken, H.I.Weber, Academic Press, USA (Ind.Ed.)

3. Laplace Transforms: M.R. Speigel (Schaum Series), Mc Graw Hill Publication

4. Numerical Methods: J.H. Mathews, Prentice Hall of India, New Delhi

Text Books:

1. Advanced Engg. Mathematics: E. Kreyszig, Wiley Eastern Publication.

AP 1.1.2 NUCLEAR SCIENCE

Maximum Marks: External 60 Time Allowed: 3 Hours

Internal 20 Total Teaching hours: 50

Total 80 Pass Marks: 35%

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 scientific calculator is allowed.

Section A

Nuclear Properties: Nuclear Radius, Mass and abundance of nuclides, Nuclear binding energy, Nuclear angular momentum and parity, Nuclear electromagnetic moments, Nuclear excited states, Nuclear forces and ground state properties of deuteron.

Nuclear Models: Liquid drop model, Shell model, even-Z even-N and collective structure, Many particle shell model and single particle states in deformed nucleus.

Nuclear decay processes:

Alpha decay: Cause of alpha decay, basic alpha decay processes, alpha decay systematic, Theory of alpha emission. Angular momentum and parity in alpha decay.

Beta decay: Energy released in beta decay, Fermi theory of beta decay, Angular momentum and parity selection rules, forbidden decays, neutrino physics, non-conservation of parity in beta decay.

Gamma decay: Energies of gamma decay, Angular momentum and parity selection rules, transition probabilities and internal conversion process.

Section B

Sources of Nuclear Radiation

Neutron Sources: Alpha particle neutron sources, photo neutron sources, Accelerators and nuclear reactors as sources of neutrons.

Sources of Charged Particles: Fast electron source, Heavy charged particle sources, Principle and working of different accelerators e.g. Tandem accelerator, Pelletron, Linear accelerator and Colliding beam accelerator.

Sources of Electromagnetic Radiation: Gamma rays following Beta decay and nuclear reactions, Annihilation radiations, Bremsstrahlung and characteristic X-rays.

Nuclear Reactions: Types of Nuclear Reactions and conservation laws, Energetics of nuclear reactions, Isospin, Reaction cross-section, Coulomb scattering, optical model, Compound nucleus reaction. Direct reaction, Resonance reaction. Heavy ion reaction, Fission and fusion.

Text Books:

1. Introductory Nuclear Physics: K. S. Krane, Wiley & Sons, New Delhi.

2. Elements of Nuclear Physics: W.E. Burcham, Longman Group Ltd.

3. Nuclear Physics: I. Kaplan, Narosa Publishing House, New Delhi.

4. The Atomic Nucleus: R. D. Evans, Tata Mc Graw Hill, New Delhi.

5. Radiation Detection and Measurements: G. F. Knoll, Willy & Sons, New Delhi

AP 1.1.3 CLASSICAL MECHANICS

Maximum Marks: External 60 Time Allowed: 3 Hours

Internal 20 Total Teaching hours: 50

Total 80 Pass Marks: 35%

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 section 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 carries 10 marks. Section C will carry 20 marks.

Use of scientific calculator is allowed.

Section A

Lagrangian Formulation: Conservation laws of linear momentum, angular momentum and energy for a single particle and system of particles, Constraints and generalized co-ordinates, Principle of virtual work, D' Alembert's principle and Lagrange's equations of motion, for conservative systems. Applications of Lagrangian formulation.

Variational Principle: Hamilton's principle, Calculus of variations and its application to the shortest distance, minimum surface area of revolution and the brachistochrone problem. Lagrange's equations from Hamilton's principle. Generalized momentum, Cyclic co-ordinates, Symmetry properties and Conservation theorems.

Two body Central Force Problem: Equivalent one body problem, Equations of motion and first integrals, Classification of orbits, Differential equation for the orbit, Kepler problem, Differential and total scattering cross-section, Scattering in an inverse square force field and Rutherford scattering cross section formula, Scattering in lab and center of mass frame.

Section B

Hamiltonian Formulation: Legendre transformation, Hamilton's equations of motion and their physical applications, Hamilton's equations from variational principle, Principle of least action.

Canonical Transformations: Point and canonical transformations, Generating functions, Poisson's brackets and its canonical invariance, Equations of motion in Poisson Bracket formulation, Poisson bracket relations between components of linear and angular momenta. Harmonic oscillator problem, check for transformation to be canonical and determination of generating functions.

Small Oscillations: Eigen value equation, Frequencies of free vibration and normal modes, Normal mode frequencies and eigen vectors of diatomic and linear tri-atomic molecule.

Rigid Body Motion: Orientation of a rigid body, Orthogonal transformations and properties of the orthogonal transformation matrix, Euler angles, Euler's theorem, Infinitesimal rotation, Rate of change of vector in rotating frame, Components of angular velocity along space and body set of axes. Motion of heavy symmetrical top (Analytical treatment).

Text Books:

1. Classical Mechanics: H. Goldstein (Narosa Pub.)

2. Classical Mechanics: J.C. Upadhyaya (Himalaya Pub. House)

AP 1.1.4 Elective Paper: Option (i) ANALOG ELECTRONICS

Maximum Marks: External 60 Time Allowed: 3 Hours

Internal 20 Total Teaching hours: 50

Total 80 Pass Marks: 35%

Use of scientific calculator is allowed.

SECTION A

Two port network analysis: Active circuit model's equivalent circuit for BJT, Transconductance model: Common emitter. Common base. Common collector amplifiers. Equivalent circuit for FET. Common source amplifier. Source follower circuit (RR1)

Feedback in amplifiers: Stabilization of gain and reduction of non-linear distortion by negative feedback. Effect of feedback on input and output resistance. Voltage and current feedback (RR1)

Bias for transistor amplifier : Fixed bias circuit, Voltage feedback bias. Emitter feedback bias, Voltage divider bias method, Bias for FET (RR1)

Multistage amplifier : Direct coupled CE two stage amplifier. RC coupling and its analysis in mid- high-and low-frequency range. Effect of cascading on bandwidth. Darlington and cascade circuits (RR1)

Oscillators : Feedback and circuit requirements for oscillator, Basic oscillator analysis, Hartley, Colpitts, RC-oscillators and crystal oscillator (RR1)

SECTION-B

Band-pass amplifiers: Parallel resonant circuit and its bandwidth. Tuned primary and tuned secondary amplifiers (RR1)

Power amplifiers: Operating conditions, Power relations, Nonlinear distortion, Class A power amplifier, Push-pull principle, Class B Push pull amplifier (RR1)

Fundamentals of modulation: Frequency spectrum in amplitude modulation, Methods of amplitude modulation, Frequency modulation, Linear demodulation of AM signals, SSB system, AM and FM transmission, Receiving systems (RR1)

Operational amplifiers: Ideal operational amplifier. Inverting and non-inverting amplifiers. Differential amplifiers. CMMR. Internal circuit of operational amplifier. Examples of practical operational amplifier. Operational amplifier characteristics. DC and AC characteristics, slew rate (RR2)

Text Books:

1. Electronics Fundamentals and Applications: John D. Ryder (5th Ed.), PHI, New Delhi

2. Linear Integrated circuits: D.Roy Choudary and Shail B.Jain, New age international Publishers

AP 1.1.4 Elective Paper: Option (ii) REMOTE SENSING

Maximum Marks: External 60 Time Allowed: 3 Hours

Internal 20 Total Teaching hours: 50

Total 80 Pass Marks: 35%

Out of 80 Marks, internal assessment (based on two mid-semester tests/ internal examination, written assignment/project work etc. and attendance) carries 20 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.