CHRIST (Deemed to University), Bangalore

DEPARTMENT OF PHYSICS AND ELECTRONICS

School of Sciences

Syllabus for
Master of Science (Physics)
Academic Year  (2023)

 
1 Semester - 2023 - Batch
Course Code
Course
Type
Hours Per
Week
Credits
Marks
MPH131 CLASSICAL MECHANICS Core Courses 4 4 100
MPH132 ANALOG AND DIGITAL CIRCUITS Core Courses 4 4 100
MPH133 QUANTUM MECHANICS - I Core Courses 4 4 100
MPH134 MATHEMATICAL PHYSICS - I Core Courses 4 4 100
MPH151 GENERAL PHYSICS LAB - I Core Courses 4 2 100
MPH152 GENERAL ELECTRONICS LAB Core Courses 4 2 100
MPH181 RESEARCH METHODOLOGY Skill Enhancement Courses 2 2 50
2 Semester - 2023 - Batch
Course Code
Course
Type
Hours Per
Week
Credits
Marks
MPH231 STATISTICAL PHYSICS Core Courses 4 04 100
MPH232 ELECTRODYNAMICS Core Courses 4 4 100
MPH233 QUANTUM MECHANICS - II Core Courses 4 4 100
MPH234 MATHEMATICAL PHYSICS - II Core Courses 4 4 100
MPH251 GENERAL PHYSICS LAB - II Core Courses 4 2 100
MPH252 COMPUTATIONAL METHODS LAB USING PYTHON Core Courses 4 2 100
MPH281 STATISTICAL TECHNIQUES IN RESEARCH AND PROFESSIONAL ETHICS Skill Enhancement Courses 2 2 50
3 Semester - 2022 - Batch
Course Code
Course
Type
Hours Per
Week
Credits
Marks
MPH331 NUCLEAR AND PARTICLE PHYSICS Core Courses 4 4 100
MPH332 SOLID STATE PHYSICS Core Courses 4 4 100
MPH333 ATOMIC, MOLECULAR AND LASER PHYSICS Core Courses 4 4 100
MPH341A FUNDAMENTALS OF MATERIALS SCIENCE Discipline Specific Elective Courses 4 4 100
MPH341B ELECTRONIC INSTRUMENTATION AND CONTROL SYSTEM Discipline Specific Elective Courses 4 4 100
MPH341C INTRODUCTION TO ASTRONOMY AND ASTROPHYSICS Discipline Specific Elective Courses 4 4 100
MPH341D HARVESTING SOLAR ENERGY Discipline Specific Elective Courses 4 04 100
MPH351 GENERAL PHYSICS LAB - III Core Courses 4 2 100
MPH352A MATERIAL SCIENCE LAB - I Discipline Specific Elective Courses 4 2 100
MPH352B ELECTRONICS LAB - I Discipline Specific Elective Courses 4 2 100
MPH352C ASTROPHYSICS LAB - I Discipline Specific Elective Courses 4 2 100
MPH352D ENERGY SCIENCE LAB-I Discipline Specific Elective Courses 4 2 100
MPH381A DISSERTATION Discipline Specific Elective Courses 8 4 100
MPH381B TEACHING METHODOLOGY Discipline Specific Elective Courses 8 4 100
4 Semester - 2022 - Batch
Course Code
Course
Type
Hours Per
Week
Credits
Marks
MPH431 SPECTROSCOPIC TECHNIQUES Core Courses 4 4 100
MPH441A ADVANCED MATERIALS AND SYNTHESIS STRATEGIES Discipline Specific Elective Courses 4 4 100
MPH441B PHYSICS OF SEMICONDUCTOR DEVICES Discipline Specific Elective Courses 4 4 100
MPH441C STELLAR ASTROPHYSICS Discipline Specific Elective Courses 4 4 100
MPH441D HARVESTING WIND, OCEAN, BIO-MASS AND GEOTHERMAL ENERGY Discipline Specific Elective Courses 4 04 100
MPH442A MATERIAL CHARACTERIZATION TECHNIQUES Discipline Specific Elective Courses 4 4 100
MPH442B ELECTRONIC COMMUNICATION Discipline Specific Elective Courses 4 4 100
MPH442C GALACTIC ASTRONOMY AND COSMOLOGY Discipline Specific Elective Courses 4 4 100
MPH442D ENERGY STORAGE AND MANAGEMENT Discipline Specific Elective Courses 4 04 100
MPH451A MATERIAL SCIENCE LAB - II Discipline Specific Elective Courses 4 2 100
MPH451B ELECTRONICS LAB - II Discipline Specific Elective Courses 4 2 100
MPH451C ASTROPHYSICS LAB - II Discipline Specific Elective Courses 4 2 100
MPH451D ENERGY SCIENCE LAB-II Discipline Specific Elective Courses 4 2 100
MPH481A DISSERTATION Discipline Specific Elective Courses 8 4 100
MPH481B TEACHING TECHNOLOGY Discipline Specific Elective Courses 8 4 100
MPH482 COMPREHENSIVE VIVA-VOCE Core Courses 0 2 50
    

    

Introduction to Program:

The postgraduate programme in physics helps to provide in depth knowledge of the subject which is supplemented with tutorials, brainstorming ideas and problem-solving efforts pertaining to each theory and practical course. The two-year MSc programme offers 16 theory papers and 7 laboratory modules, in addition to the foundation courses and guided project spreading over four semesters. Foundation courses and seminars are introduced to help the students to achieve holistic development and to prepare themselves to face the world outside in a dignified manner. Study tour to reputed national laboratories, research institutions and industries, under the supervision of the department is part of the curriculum.

Programme Outcome/Programme Learning Goals/Programme Learning Outcome:

PO1: Understand and apply the fundamental principles, concepts and methods in Physics and allied areas.

PO2: Develop critical thinking with scientific temper and enhance problem solving, analytical and logical skills.

PO3: Communicate the subject effectively

PO4: Understand the professional, ethical and social responsibilities

PO5: Enhance the research culture and uphold the scientific integrity and objectivity

PO6: Engage in continuous reflective learning in the context of technological and scientific advancements.

PO7: To develop the entrepreneurship skills through technically enhanced research environments.

Programme Specific Outcome:

PSO1: Become professionally trained in the area of Astrophysics, Nanomaterials, Energy Science, and Material Science.

PSO2: Understanding the basic concepts of physics, particularly concepts in classical mechanics, quantum mechanics, electrodynamics and electronics, to appreciate how diverse phenomena observed in nature follow fundamental physical principles.

PSO3: Design and perform experiments in basic as well as advanced areas of physics.

PSO4: Develop proficiency in oral and written communication skills

PSO5: To advance the skills in modelling and simulations of physical phenomena using industrially and academically relevant software. To develop the entrepreneurship skills through careful planning and execution of research projects and publications.

Programme Educational Objective:

PEO1: The postgraduate programme in physics helps to provide in depth knowledge of the subject which is supplemented with tutorials, brainstorming ideas and problem-solving efforts pertaining to each theory and practical course.
Assesment Pattern

 

No.

Component

Schedule

Duration

Marks

CIA 2

Mid-Sem Test (Centralized)

MST

2 hours(50 marks)

25

CIA 1

Assignment /quiz/ group task / presentations

Before MST

--

10

CIA 3

Assignment /quiz/ group task / presentations

After MST

--

10

CIA 4

Attendance

(76-79 = 1, 80-84 = 2, 85-89 = 3, 90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 hours(100 marks)

50

 

Total

100

 

 

Examination And Assesments

 

Continuous internal assessment (CIA) forms 50% and the end semester examination forms the other 50% of the marks in both theory and practical. For the Holistic and Seminar course, there is no end semester examination and hence the mark is awarded through CIA. CIA marks are awarded based on their performance in assignments (written material to be submitted and valued), mid-semester test (MST), and class assignments (Quiz, presentations, problem solving etc.). The mid-semester examination and the end semester examination for each theory paper will be for three hours duration. The CIA for practical sessions is done on a day to day basis depending on their performance in the pre-lab, the conduct of the experiment, and presentation of lab reports. Only those students who qualify with minimum required attendance and CIA will be allowed to appear for the end semester examination.

 

Examination pattern for theory

 

No.

Component

Schedule

Duration

Marks

CIA 2

Mid-Sem Test (Centralized)

MST

2 hours(50 marks)

25

CIA 1

Assignment /quiz/ group task / presentations

Before MST

--

10

CIA 3

Assignment /quiz/ group task / presentations

After MST

--

10

 

Attendance

(76-79 = 1, 80-84 = 2, 85-89 = 3, 90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 hours(100 marks)

50

 

Total

100

 

End-Semester Exam [ESE]

 

       A student is eligible to appear for the ESE only if she/he has put in 85% of attendance and satisfactory performance in the continuous internal assessment.

 

       The question paper shall be set for 100 marks. These marks will then be reduced to 50% of the total marks assigned for the paper.

 

       There is no provision for taking improvement exams. If a student fails in an ESE paper, he can take the exam again the next time it is offered.

 

       The practical examination shall be conducted with an internal (batch teacher) and an external examiner.

 

 

Examination pattern for practical

 

No.

Component

Duration

Points

Marks

CIA 1

Mid-Sem Test [MST]

4 hours

50

25

CIA 2

Class work, Pre-lab Assignments

---

40

20

CIA 3

Record book

---

10

05

ESE

(Two examiners)

4 Hours

50

50

 

Total

 

 

100

 

 

MPH131 - CLASSICAL MECHANICS (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

The course enables students to understand the basic concepts of Newtonian mechanics and introduce other formulations (Lagrange, Hamilton, Poisson) to solve trivial problems.  The course also includes constraints, rotating frames, central force, Kepler problems, canonical transformation and their generating functions, small oscillations and rigid body dynamics.

Course Outcome

CO1: Understand and conceptualize the forces acting on static and dynamic bodies and their resultants.

CO2: Solve problems related to damped, undamped and forced vibrations acting on molecules, as well as rigid bodies undergoing oscillations.

CO3: Apply mathematical concepts like Poisson brackets and canonical transformations to classical systems.

CO4: Apply Lagrangian and Hamiltonian formalism to other branches of physics.

Unit-1
Teaching Hours:15
Constraints and Lagrangian formulation
 

Mechanics of a particle, mechanics of a system of particles, constraints and their classification, principle of virtual work, D’Alembert’s principle, Generalized co-ordinates, Lagrange’s equations of motion, applications of Lagrangian formulation (simple pendulum, Atwood’s machine, bead sliding in a wire), cyclic co-ordinates, concept of symmetry, homogeneity and isotropy, invariance under Galilean transformations.

Unit-2
Teaching Hours:15
Rotating Frames of Reference and Central Force
 

Rotating frames, inertial forces in the rotating frame, effects of Coriolis force, Foucault’s pendulum, Central force: definition and examples, Two-body central force problem, classification of orbits, stability of circular orbits, condition for closure of orbits, Kepler’s laws, Virial theorem, applications.                                                       

Unit-3
Teaching Hours:15
Canonical Transformation, Poisson Bracket and Hamilton's Equations of motion
 

Canonical transformations, generating functions, conditions of canonical transformation, examples, Legendre’s dual transformation, Hamilton’s function, Hamilton’s equation of motion, properties of Hamiltonian and Hamilton’s equations of motion, Poisson Brackets, properties of Poisson bracket, elementary PB’s, Poisson’s theorem, Jacobi-Poisson theorem on PBs, Invariance of PB under canonical transformations, PBs involving angular momentum, principle of Least action, Hamilton’s principle, derivation of Hamilton’s equations of motion from Hamilton’s principle, Hamilton-Jacobi equation. Solution of simple harmonic oscillator by Hamilton-Jacobi method.

Unit-4
Teaching Hours:15
Small Oscillations and Rigid Body Dynamics
 

Types of equilibrium and the potential at equilibrium, Lagrange’s equations for small oscillations using generalized coordinates, normal modes, vibrations of carbon dioxide molecule, forced and damped oscillations, resonance, degrees of freedom of a free rigid body, angular momentum, Euler’s equation of motion for rigid body, time variation of rotational kinetic energy, Rotation of a free rigid body, Eulerian angles, Motion of a heavy symmetric top rotating about a fixed point in the body under the action of gravity.

Text Books And Reference Books:

[1].    Goldstein, H. (2001). Classical mechanics (3rd ed.): Addison Wesley.

[2].  Aruldhas, G. (2008). Classical mechanics : Prentice Hall India Learning Private Limited

[3].    Rana, N. C., & Joag, P. S. (1994).  Classical mechanics. New Delhi: Tata McGraw Hill.

 

Essential Reading / Recommended Reading

[1].    Greiner, W. (2004). Classical mechanics: System of particles and Hamiltonian dynamics. New York: Springer-Verlag.

[2].    Barger, V., & Olsson, M. (1995). Classical mechanics - A modern perspective (2nd ed.): Tata McGraw Hill.

[3].    Gupta, K. C. (1988). Classical mechanics of particles and rigid bodies: Wiley Eastern Ltd. 

[4].    Takwale, R. G., & Puranik, P. S. (1983).  Introduction to classical mechanics. New Delhi: Tata McGraw Hill.

Evaluation Pattern

Type

Components

Marks

CIA1

Assignments/class room interaction/seminar/project presentation/periodical test

10

CIA2

MSE (centralized)

25

CIA3

Quiz, MCQ test, seminar presentation, scientific models, science project, MOOC

10

Attendance

 

05

ESE

Centralized

50

Total

 

100

MPH132 - ANALOG AND DIGITAL CIRCUITS (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

This module introduces the students to the applications of analog and digital integrated circuits. First part of the module deals with the operational amplifier, linear applications of op-amp., active filters, oscillators, non-linear applications of op-amp, timer and voltage regulators. The second part deals with digital circuits which expose the logic gates, encoders and decoders, flip-flops registers and counters. 

Course Outcome

CO1: Learner will be able to understand the various configurations of linear circuits with OP-amp

CO2: Students will be able to get the glimpses of designing of various operational amplifier circuits.

CO3: Learner will be able to understand the various configurations of digital circuits with combinational logic

CO 4: Students will be able to get the glimpses of designing of various sequential circuits and practical applications of it

Unit-1
Teaching Hours:15
Linear applications of op-amp
 

The ideal op-amp - characteristics of an op-amp., the ideal op-amp., Equivalent circuit of an op-amp., Voltage series feedback amplifier - voltage gain, input resistance and output resistance, Voltage follower. Voltage shunt feedback amplifier - virtual ground, voltage gain, input resistance   and output resistance, Current to voltage converter. Differential amplifier with one op-amp. voltage gain, input resistance.

Linear applications: AC amplifier, AC amplifier with single supply voltage, Summing amplifier, Inverting and non-inverting amplifier, Differential summing amplifier, Instrumentation amplifier using transducer bridge, The integrator, The differentiator.                                                                                                               

Unit-2
Teaching Hours:15
Non-linear applications of op-amp.
 

Active filters and oscillators: First order low pass filter, Second order low pass filter, First order high pass filter, Second order high pass filter, Phase shift Oscillator, Wien-bridge oscillator, Square wave generator.

Non-linear circuits: Comparator, Schmitt trigger, Digital to analog converter with weighted resistors and R-2R resistors, Positive and negative clippers, Small signal half wave rectifier, Positive and negative clampers.                                                         

Unit-3
Teaching Hours:15
Combinational digital circuits
 

Logic gates - basic gates - OR, AND, NOT, NOR gates, NAND gates, Boolean laws and theorems (Review only). Karnaugh map, Simplification of SOP equations, Simplification of POS equations, Exclusive OR gates.

Combinational circuits: Multiplexer, De-multiplexer, 1-16 decoder, BCD to decimal decoder, Seven segment decoder, Encoder, Half adder, Full adder                  

Unit-4
Teaching Hours:15
Sequential digital circuits
 

Flip flops: RS flip-flop, Clocked RS flip-flop, Edge triggered RS flip-flop, D flip-flop, JK flip-flop, JK master-slave flip-flop.

Registers: Serial input serial output shift register, Serial input parallel output shift register, Parallel input serial output shift register, Parallel input parallel output shift register, Ring counter.

Counters: Ripple counter, Decoding gates, Synchronous counter, Decade counter, Shift counter - Johnson counter. 

Text Books And Reference Books:

[1].      Gayakwad, R. A. (2002). Op-amps. and linear integrated circuits. New Delhi: Prentice Hall of India.

[2].      Leach, D. P., & Malvino, A. P. (2002). Digital principles and applications. New York: Tata McGraw Hill.  

Essential Reading / Recommended Reading

[1].      Anand Kumar, A. (2018). Fundamental of digital circuits. New Delhi, Prentice-Hall of India.

[2].      Morris Mano, M. (2018). Digital logic and computer design: Pearson India.

[3].      Jain, R. P. (1997). Modern digital electronics. New York: Tata McGraw Hill.

Evaluation Pattern

No.

Component

Schedule

Duration

Marks

CIA I

Assignment /quiz/ group task / presentations

Before MSE

--

10

CIA II

Mid Semester Examination (Centralized)

MSE

2 hours

(50 marks)

25

CIA III

Assignment /quiz/ group task / presentations

After MSE

--

10

 

Attendance: (76-79 = 1, 80-84 = 2, 85-89 = 3, 90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 hours              (100 marks)

50

 

Total

100

MPH133 - QUANTUM MECHANICS - I (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

 Course description: This course being an essential component in understanding the behaviour of fundamental constituents of matter is divided into two modules spreading over first and second semesters. The first module is intended to familiarize the students with the basics of quantum mechanics, exactly solvable eigenvalue problems, time independent perturbation theory and time dependent perturbation theory

Course Objectives: On successful completion of this course the student will be able to: 

Employ the basic principles of quantum mechanics to wave functions to calculate the observables 

Solve time-dependent and time-independent Schrödinger equation for simple potentials 

Apply the time-independent perturbation theory and time-dependent perturbation theory to solve simple problems 

 

Describe the scattering theory and its applications 

Course Outcome

CO1: Acquire basic knowledge of Quantum Mechanics and bring out various operators and functions to apprehend the quantum mechanical systems.

CO2: Learn to differentiate between bound and unbound states of a system. Develop the skills and techniques to solve eigenvalue problems such as particle in a box, potential step, potential barrier, rigid rotator, hydrogen atom, etc.

CO3: Understand the first and second order perturbation theories and variational method, and apply them to different cases to solve for eigen functions and eigen values.

CO4: Study various parameters used in scattering and use approximation methods to describe the low and high-energy scattering.

Unit-1
Teaching Hours:15
Basics of quantum mechanics
 

Review - origin of quantum mechanics (particle aspects, wave aspects and wave-particle duality), uncertainty principle, Schrodinger equation, time evolution of a wave packet, probability density, probability current density, continuity equation, orthogonality and normalization of the wave function, box normalization, admissibility conditions on the wave function, Operators, Hermitian operators, Poisson brackets and commutators, Eigen values, Eigen functions, postulates of quantum mechanics, expectation values, Ehrenfest theorems.

Unit-2
Teaching Hours:20
Exactly solvable eigenvalue problems
 

Bound and unbound systems. Application of time independent Schrodinger wave equation - Potential step, rectangular potential barriers - reflection and transmission coefficient, barrier penetration; particle in a one dimensional box and in a cubical box, density of states; one dimensional linear harmonic oscillator - evaluation of expectation values of x2 and px2; Orbital angular momentum operators - expressions in cartesian and polar coordinates, eigenvalue and eigenfunctions, spherical harmonics, Rigid rotator, Hydrogen atom - solution of radial equation.

Unit-3
Teaching Hours:15
Approximation methods
 

Time independent perturbation theory- First and second order perturbation theory applied to non-degenerate case; first order perturbation theory for degenerate case, application to normal Zeeman effect and Stark effect in hydrogen atom.

 

Time dependent perturbation theory - First order perturbation, Harmonic perturbation, Fermi’s golden rule, Adiabatic approximation method, Sudden approximation method

Unit-4
Teaching Hours:10
Scattering theory
 

 

Scattering cross-section, Differential and total cross-section, Born approximation for the scattering amplitude, scattering by spherically symmetric potentials, screened coulomb potential, Partial wave analysis for scattering amplitude, expansion of a plane wave into partial waves, phase shift, cross-section expansion, s-wave scattering by a square well, optical theorem.

Text Books And Reference Books:

 

  1. Zettli, N. (2017). Quantum mechanics. New Delhi: Wiley India Pvt Ltd.

  2. Aruldhas, G. (2010). Quantum mechanics. New Delhi: Prentice Hall of India.

  3. Ghatak, A. K. & Lokanathan, S. (1997). Quantum mechanics: McMillan India Ltd.

Essential Reading / Recommended Reading
  1. Schiff, L. I. (2017). Quantum mechanics (4th ed.).New York: McGraw Hill Education Pvt Ltd.

  2. Miller, D. A. B. (2008). Quantum mechanics for scientists and engineers:Cambridge University Press.

  3. Shankar, R. (2008). Principles of quantum mechanics (2nd ed.). New York: Springer.

  4. Tamvakis, K. (2005). Problems and solutions in quantum mechanics: Cambridge University Press.

  5. Sakurai, J. J. (2002). Modern quantum mechanics: Pearson Education Asia.

  6. Crasemann, B., & Powell, J. H. (1998). Quantum mechanics: Narosa Publishing House.

  7. Mathews, P. M., & Venkatesan, A. (1995). Quantum mechanics. New Delhi: Tata McGraw Hill.

  8. Griffiths, D. J. (1995). Introduction to quantum mechanics: Prentice Hall Inc.

  9. Gasiorowicz, S. (1974). Quantum physics: John Wiley & Sons. 

  10. Landau, L. D., & Lifshitz, E. M. (1965). Quantum mechanics: Pergamon Press.

 

Evaluation Pattern

 

No.

Component

Schedule

Duration

Marks

CIA I

Assignment /quiz/ group task / presentations 

Before MSE

--

10

CIA II

Mid Semester Examination (Centralized)

MSE

2 hours 

(50 marks)

25

CIA III

Assignment /quiz/ group task / presentations 

After MSE

--

10

 

Attendance: (76-79 = 1, 80-84 = 2, 85-89 = 3, 90-94 = 4, 95-100 = 5) 

--

5

ESE

Centralized 

3 hours              (100 marks)

50

 

Total

100

MPH134 - MATHEMATICAL PHYSICS - I (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

A sound mathematical background is essential to understand and appreciate the principles of physics. This module is intended to make the students familiar with the applications of tensors and matrices, Special functions, partial differential equations and integral transformations, Green’s functions and integral equations.

Course Outcome

CO1: By the end of the course the student will be able to understand concepts like vectors and tensors and their application in real life problems

CO2: Apply the knowledge of special functions to solve specific second order differential equations representing physical systems

CO3: Use Fourier and Laplace transform methods to solve differential equations in physics

CO4: Apply the knowledge of Green?s function and integral equations in learning the dynamics of physical systems using quantum mechanics

Unit-1
Teaching Hours:15
Vector analysis and tensors
 

Vectors and matrices: Review (vector algebra and vector calculus, gradient, divergence & curl), transformation of vectors, rotation of the coordinate axes, invariance of the scalar and vector products under rotations, Vector integration, Line, surface and volume integrals - Stoke’s, Gauss’s and Green’s theorems (Problems), Vector analysis in curved coordinate, special coordinate system - circular, cylindrical and spherical polar coordinates, linear algebra matrices, Cayley-Hamilton theorem, eigenvalues and eigenvectors.

Tensors: Definition of tensors, Kronecker delta, contravariant and covariant tensors, direct product, contraction, inner product, quotient rule, symmetric and antisymmetric tensors, metric tensor, Levi Cevita symbol, simple applications of tensors in non-relativistic physics.

Unit-2
Teaching Hours:15
Special functions
 

Beta and Gamma functions, different forms of beta and gamma functions. Dirac delta function. Kronecker delta, Power series method for ordinary differential equations, Series solution for Legendre equation, Legendre polynomials and their properties, Series solution for Bessel equation, Bessel and Neumann functions and their properties, Series solution for Laguerre equation, it's solutions and properties (generating function, recurrence relations and orthogonality properties for all functions). 

Unit-3
Teaching Hours:15
Partial differential equations and integral transforms
 

Method of separation of variables, the wave equation, Laplace equation in cartesian, cylindrical and spherical polar coordinates, heat conduction equations and their solutions in one, two and three dimensions. 

Review of Fourier series, Fourier integrals, Fourier transform, Properties of Fourier sine and cosine transforms, applications. Laplace transformations, properties, convolution theorem, inverse Laplace transform, Evaluation of Laplace transforms and applications.

Unit-4
Teaching Hours:15
Green?s functions and integral equations
 

Dirac delta function, properties of Dirac delta function, three dimensional delta functions, boundary value problems, Sturm-Liouville differential operator, Green’s function of one dimensional problems, discontinuity in the derivative of Green’s functions, properties of Green’s functions, Construction of Green’s functions in special cases and solutions of inhomogeneous differential equations, Green’s function- symmetry of Green’s function, eigenfunction expansion of Green’s functions, Green’s function for Poisson equation.

Linear integral equations of first and second kind, Relationship between integral and differential equations, Solution of Fredholm and Volterra equations by Neumann series method. 

Text Books And Reference Books:

[1]. Arfken, G. B., Weber, H. J., & Harris, F. E. (2013). Mathematical methods for physicists (7th ed.): Academic Press.

[2]. Dass, H. K. (2008). Mathematical physics. New Delhi: S. Chand and Sons.

[3]. Prakash, S. (2004). Mathematical physics. New Delhi: S. Chand and Sons.

Essential Reading / Recommended Reading

[4]. Riley, K. F., Hobson, M. P, & Bence, S. J. (2006). Mathematical methods for physics and engineering (3rd ed.): Cambridge University Press.

[5]. Mathews, J., & Walker, R. (2006). Mathematical physics: Benjamin, Pearson Education.

[6]. Kryszig, E. (2005). Advanced engineering mathematics: John-Wiley.

[7]. Hassani, S. (2000). Mathematical methods for students of physics and related fields: Springer.

[8]. Joshi, A W. (1995). Tensor analysis: New Age International Publishers.

[9]. Chattopadhyaya, P. K. (1990). Mathematical physics: Wiley Eastern.

[10]. Boas, M. L. (1983). Mathematical methods in the physical sciences (2nd ed.): John-Wiley

[11]. Spiegel, M. R. (1974). Theory and problems of vector analysis (Schaum’s outline series):McGraw-Hill Publishing Co.

[12]. Piper, L. A. (1958): Applied mathematics for engineers and physicists. New York: McGraw-Hill.

Evaluation Pattern

Continuous Internal Assessment (CIA) forms 50% and the End Semester Examination forms the other 50% of the marks with total of 100%. CIA marks are awarded based on their performance in assignments, Mid-Semester Test (MST), and Class assignments (Quiz, presentations, problem solving, MCQ test etc.). The mid-semester examination and the end semester examination for each theory paper will be for two- and three-hours duration respectively.

CIA 1: Assignment /quiz/ group task / presentations before MST - 10 marks.

CIA 2: Mid-Sem Test (Centralized), 2 hours - 50 marks to be converted to 25 marks.

CIA 3: Assignment /quiz/ group task / presentations after MST - 10 marks.

CIA 4: Attendance (76-79 = 1, 80-84 = 2, 85-89 = 3, 90-94 = 4, 95-100 = 5) - maximum of 5 marks.

No.

Components

Marks

CIA 1

Written test on descriptive answers/Presentation

10

CIA2

Centralized Mid Sem Examination

25

CIA 3

Quiz, MCQ test, presentation, minor project, MOOC

10

Attendance

Regularity and Punctuality

05

ESE

Centralized End Sem Examination

50

Total

100

MPH151 - GENERAL PHYSICS LAB - I (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:2

Course Objectives/Course Description

 

Experiments are selected to improve the understanding of students about mechanical, magnetic, optical and basic electronic properties of materils.

 

  1. Elastic constants of glass plate by Cornu's interference method. 

  2. Study of thermo-emf and verification of thermoelectric laws

  3. Wavelength of iron arc spectral lines using constant deviation spectrometer. 

  4. Energy gap of the semi-conducting material used in a PN junction. 

  5. Characteristics of a solar cell.

  6. Stefan’s constant of radiation.

  7. Relaxation time constant of a serial bulb.

  8. e/m by Millikan’s oil drop method.

  9. Study of elliptically polarized light by using photovoltaic cell.                                      

  10. Study of absorption of light in different liquid media using photovoltaic cell. 

  11. Determination of Curie temperature of a given ferro magnetic material. 

  12. Determination of energy loss during magnetization and demagnetization by means of BH loop.

Course Outcome

CO1: Gain practical knowledge about the mechanical, magnetic properties (B-H loop and Curie temperature), optical properties (interference) and electronics properties (band gap and I-V characteristics) of materials.

CO2: Gain the basic skills needed to start entrepreneurship pertaining to local and regional needs.

Unit-1
Teaching Hours:30
Cycle-1
 

1.      Elastic constants of glass plate by Cornu's interference method. (Online/Offline)

2.      Study of thermo-emf and verification of thermoelectric laws (Onlilne/Offline)

3.      Wavelength of iron arc spectral lines using constant deviation spectrometer. (Offline)

4.      Energy gap of the semi-conducting material used in a PN junction. (Offline)

5.      Characteristics of a solar cell. (Online/Offline) 

6.      Stefan’s constant of radiation. (Offline)

7.    Study of hydrogen spectra and determination of Rydberg constant (Offline)

Unit-2
Teaching Hours:30
Cycle-2
 

1.      Relaxation time constant of a serial bulb. (Offline)

2.      e/m by Millikan’s oil drop method. (Online)

3.      Study of elliptically polarized light by using photovoltaic cell. (Offline)                                     

4.      Study of absorption of light in different liquid media using photovoltaic cell. (Offline/Online)

5.      Determination of Curie temperature of a given ferro magnetic material. (Offline)

6.      Determination of energy loss during magnetization and demagnetization by means of BH loop. (Online/Offline)

Text Books And Reference Books:

1. Worsnop, B. L.,& Flint, H. T. (1984). Advanced practical physics for students. New Delhi: Asia Publishing house.

2. Sears, F. W., Zemansky, M. W.,& Young, H. D. (1998). University physics(6thed.): Narosa Publishing House.

Essential Reading / Recommended Reading

3. Chadda, S.,& Mallikarjun Rao, S. P. (1979). Determination of ultrasonic velocity in liquids using optical diffraction by short acoustic pulses: Am. J. Phys. Vol. 47, Page. 464.

4. Collings, P. J. (1980). Simple measurement of the band gap in silicon and germanium, Am. J. Phys., Vol. 48, Page. 197.

5. Fischer, C. W. (1982). Elementary technique to measure the energy band gap and diffusion potential of pn junctions: Am. J. Phys., Vol. 50, Page. 1103.

Evaluation Pattern

No.

Component

Duration

Points

Marks

CIA 1

Mid-Sem Test [MST]

4 hours

50

25

CIA 2

Class work, Pre-lab Assignments

---

40

20

CIA 3

Record book

---

10

05

ESE

(Two examiners)

4 Hours

100

50

 

Total

 

 

100

MPH152 - GENERAL ELECTRONICS LAB (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:2

Course Objectives/Course Description

 

Electronics being an integral part of Physics, electronics lab is dedicated to experiments related to electronic components and circuits. The experiments are selected to make the students familiar with the commonly used electronic components and their application in electronic circuits. During the course, the students will learn to use various electronic measuring instruments for measuring different parameters. 

Course Outcome

CO1: The students will get a practical knowledge about basic electronic circuits based on linear operational amplifiers.

CO2: The module glimpses of designing of various combinational and sequential circuits.

Unit-1
Teaching Hours:30
Cycle-1
 
  1. Transistor multivibrator.
  2. Half wave and full wave rectifier using op-amp.
  3. Op-amp. voltage regulator.
  4. Op-amp. inverting and non-inverting amplifier.
  5. Timer 555, square wave generator and timer, RS flip-flop using NAND gates and decade counter using JK flip-flops.
  6. Half adder, full adder and subtractor using NAND gates.
  7. Construction of adder, subtractor, differentiator and integrator circuits using the given Op-amp.
Unit-2
Teaching Hours:30
Cycle-2
 
  1. Construction of a D/A converter circuit and study its performance - R-2R and Weighted resistor network.
  2. JK flip-flop and up-down counter
  3. Differential amplifier with op-amp
  4. Low-pass, high-pass and band-pass filters (first order - active filters)
  5. Multiplexer and demultiplexer-( IC 74151, IC74138)
  6. Encoder and priority encoder- (IC74148 and IC74147)
  7. Decoder and seven segment display- (IC 74LX138 and IC7447)
Text Books And Reference Books:
  1. R. A. Gayakwad: Op-amps. and Linear Integrated Circuits, PHI, 2002.
  2. R. P. Jain: Modern Digital Electronics, TMH, 1997.
Essential Reading / Recommended Reading
  1. C. S. Rangan, G. R. Sharma and V .S. V. Mani: Instrumentation devices and systems, II Edn, TMH, New Delhi, 1997.
  2. B. C. Nakra and K. K. Chaudhary: Instrumentation measurement analysis, TMH, New Delhi, 2004.
Evaluation Pattern

S.No.

Component

Duration

Points

Marks

CIA 1

Mid-Sem Test [MST]

4 hours

50

25

CIA 2

Class work, Prelab Assignments

---

40

20

CIA 3

Record book

---

10

05

ESE

(Two examiners)

4 Hours

100

50

 

Total

 

 

100

MPH181 - RESEARCH METHODOLOGY (2023 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

 Course description: The research methodology module is intended to assist students in planning and carrying out research projects. The students are exposed to the principles, procedures and techniques of implementing a research project. In this module the students are exposed to elementary scientific methods, design and execution of experiments, analysis and reporting of experimental data. Units I and II caters to local and national needs.

Course Outcomes: This course enables the students to 

● Understand the basic concept of research methodology 

● Differentiate between research methods and methodology 

● Understand different stages of research methodology 

 

● Write reports/documents/articles/presentations in Latex 

Course Outcome

CO1: Understand the basics of research methodology, types of research, research approaches, and research methods.

CO2: Acquire knowledge and skills related to research design, define research problems, and evaluate the criteria of good research.

CO3: Develop skills in literature review and documentation, and use document preparation systems such as Latex, beamer, and Overleaf.

CO4: Develop proficiency in thesis writing.

Unit-1
Teaching Hours:15
Research Methodology
 

 Introduction - meaning of research - objectives of research - motivation in research, types of research - research approaches - significance of research -research methods versus methodology - research and scientific method, importance of knowing how research is done - research processes - criteria of good research - defining research problem - selecting the problem, necessity of defining the problem - techniques involved in defining a problem - research design - meaning of research design - need for research design - features of good design, different research designs - basic principles of experimental design. Resources for research - research skills - time management, role of supervisor and scholar - interaction with subject experts. Thesis Writing: The preliminary pages and the introduction - the literature review, methodology - the data analysis - the conclusions, the references (IEEE format)

 

Unit-2
Teaching Hours:15
Review of literature and documentation
 

 Literature review: Significance of review of literature - source for literature: books -journals - proceedings - thesis and dissertations - unpublished items.

On-line Searching: Database – SciFinder – Scopus - Science Direct - Searching research articles - Citation index - Impact factor - h-index etc.

Document preparation system: Latex, beamer, Overleaf - Writing scientific report - structure and components of research report - revision and refining’ - writing project proposal - paper writing for international journals, submitting to editors - conference presentation - preparation of effective slides, graphs - citation styles.

Text Books And Reference Books:

[1].Kothari, C. R. (2009). Research methodology methods and techniques (2nd ed.). New Delhi: New Age International Publishers.

 

[2].Panneerselvam, R. (2005). Research methodology. New Delhi: PHI.

Essential Reading / Recommended Reading

[3].     Creswell, J. W, (2008). Research design: Qualitative, quantitative and mixed methods approaches (3rd ed.): Sage Publications.

[4].Kumar, R. (2005). Research methodology: A step by step guide for beginners (2nd ed.): SAGE Publications Ltd.

[5].Gregory, I. (2005). Ethics in research:Bloomsbury Publishing PLC.

[6].Nakra, B. C., & Chaudhry, K. K. (2005). Instrumentation, measurement and analysis (2nd ed.). New Delhi: TMH Publishing Co. Ltd.

[7].     Oliver, P. (2004). Writing your thesis. New Delhi: Vistaar Publications.

 

[8].     Mittelbach, F., & Goossens, M. (2004), The LATEX Companion: Addison-Wesley Professional.

Evaluation Pattern

 

No.

Components

Marks

CIA

MCQ Test, class work, MSE

25

ESE

Report submission, Theoretical exam

25

Total

50

 

MPH231 - STATISTICAL PHYSICS (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:04

Course Objectives/Course Description

 

This course develops basic concepts of statistical mechanics, statistical interpretation of thermodynamics and various ensembles. The course also introduces various methods used in statistical mechanics to study Bose-Einstein and Fermi-Dirac systems. Numerous examples illustrating a wide variety of physical phenomena such as magnetism, polyatomic gases, superfluidity, electrons in solids, and phase transitions are discussed.

Course Outcome

The students will be able to

  • Understand the concepts of statistical mechanics.
  • Understand the properties of macroscopic systems.
  • Apply the knowledge of the properties of individual particles.
  • Analyze and develop problem-solving and data analysis skills

 

Unit-1
Teaching Hours:15
Basic concepts
 

Introduction, phase space, ensembles (microcanonical, canonical and grand canonical ensembles), ensemble average, Liouville theorem, conservation of extension in phase space, condition for statistical equilibrium, microcanonical ensemble, ideal gas.

Quantum picture: Microcanonical ensemble, quantization of phase space, basic postulates, classical limit, symmetry of wave functions, effect of symmetry on counting, distribution laws.

Unit-2
Teaching Hours:15
Ensembles and Partition Functions
 

Gibb’s paradox and its resolution, Canonical ensemble, entropy of a system in contact with a heat reservoir, ideal gas in canonical ensemble, Maxwell velocity distribution, equipartition theorem of energy, Grand canonical ensemble, ideal gas in grand canonical ensemble, comparison of various ensembles.

Canonical partition function, molecular partition function, translational partition function, rotational partition function, application of rotational partition function, application of vibrational partition function to solids.

Unit-3
Teaching Hours:15
Ideal Bose-Einstein and Fermi-Dirac gases
 

Bose-Einstein distribution, Applications, Bose-Einstein condensation, thermodynamic properties of an ideal Bose-Einstein gas, liquid helium, two fluid model of liquid helium-II, Fermi-Dirac (FD) distribution, degeneracy, electrons in metals, thermionic emission, magnetic susceptibility of free electrons. Application to white dwarfs, high temperature limits of BE and FD statistics.

Unit-4
Teaching Hours:15
Phase transitions & Non-equilibrium states
 

First order and second order phase transitions: Phase diagrams, phase equilibria and phase transitions, Order parameter, Critical exponents. 1D Ising model, Elementary ideas on Ising and Heisenberg models of ferromagnetism. Diffusion  equation: random  walk  and  Brownian  motion; introduction to non-equilibrium processes, Boltzmann transport equation. 

 

Text Books And Reference Books:

[1].    Pathria, R. K. (2006). Statistical mechanics (2nd ed.): Butterworth Heinemann.

[2].    Agarwal, B. K., & Eisner, M. (1998). Statistical mechanics (2nd ed.): New Age International Publishers.

[3].    Cowan B. (2005). Topics in Statistical Mechanics: Imperial College Press.

Essential Reading / Recommended Reading

[4].    Salinas, R. A. (2006). Introduction to statistical physics: Springer.

[5].    Bhattacharjee, J. K., (1997). Statistical physics: Equilibrium and mon-equilibrium aspects: Allied Publishers Ltd.

[6].    Huang, K. (1991). Statistical mechanics: Wiley Eastern Limited.

[7].    Reif, F. (1985). Statistical and thermal physics: McGraw Hill International.

[8].    Gopal, E. S. R. (1976). Statistical mechanics and properties of matter: Macmillan.

Evaluation Pattern

 

No.

Component

Schedule

Duration

Marks

CIA I

Assignment /quiz/ group task / presentations

Before MSE

--

10

CIA II

Mid Semester Examination (Centralized)

MSE

2 hours

(50 marks)

25

CIA III

Assignment /quiz/ group task / presentations

After MSE

--

10

 

Attendance: (76-79 = 1, 80-84 = 2, 85-89 = 3, 90-94 = 4, 95-100 = 5)

--

5

ESE

Centralized

3 hours              (100 marks)

50

 

Total

100

MPH232 - ELECTRODYNAMICS (2023 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

This course has been conceptualized in order to give students to get exposure to the fundamentals of Electrodynamics. Students will be introduced to the topics such as Electrostatics, Magnetostatics, Electromagnetic waves, Propagation of wave through waveguide, Electromagnetic radiation and relativistic electrodynamics. 

Course Outcome

CO1: By the end of the course the learner will be able to learn the unification of electric and magnetic fields

CO2: Learner will be introduced to the concept of wave propagation in different media

CO3: Learner will be introduced to the concept of TEM wave propagation in waveguide and potential formulation

CO4: Learners will be able to understand the relativistics concept in the potential formulation and revisit of Maxwell's equation in terms of relativistic dynamics

Unit-1
Teaching Hours:15
Electrostatics and magnetostatics
 

Electrostatics:Review of electrostatics, Electrostatic boundary conditions, Poisson’s equation and Laplace’s equation, uniqueness theorem.  Solution to Laplace’s equation in a) Cartesian coordinates, applications: i) rectangular box and ii) parallel plate condenser, b) spherical coordinates, applications: potential outside a charged conducting sphere and c) cylindrical coordinates, applications: potential between two co-axial charged conducting cylinders. Method of images: Potential and field due to a point charge i) near an infinite conducting sphere and ii) in front of a grounded conducting sphere.

Magnetostatics: Review of magnetostatics, Multipole expansion of the vector potential, diamagnets, paramagnets and ferromagnets, magnetic field inside matter, Ampere’s law in magnetized materials, Magnetic susceptibility and permeability.

Unit-2
Teaching Hours:15
Electromagnetic waves
 

Review of Maxwell’s equations, Maxwell’s equations in matter, Boundary conditions. Poynting’s theorem, wave equation, Electromagnetic waves in vacuum, energy and momentum in electromagnetic waves. Electromagnetic waves in matter, Reflection and transmission at normal incidence, Reflection and transmission at oblique incidence. Electromagnetic waves in conductors, reflection at a conducting surface, and frequency dependence of permittivity.