COURSE INFORMATION

Course Code: PH 301 / PH 401

Course Name: Physics - 2

Contacts: 3(L) + 1(T) + 0(P)

Credits:  04

COURSE OUTCOME

At the end of this course, the incumbent will be able to:

  1. Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.
    Describe how different electronic tools, various parameters & variables of fundamental physics related to the program. To overcome & eliminate different constraints those may arises by solving the physical and numerical problems.
  2. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas.
    Overall achievement of innovative problems solving ability by enhancing the power of understanding, knowledge and imagination.
  3. Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.
    Apply the knowledge in current research works and publications in various journals and literature of the subjects in different fields adopted by the students as per course curriculum
  4. Analyzing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations.
    Describe how the ideas those are adopted can be implemented through projects and demonstrate various models, recent project proposals to execute the knowledge adopted from the course.
  5. Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.
    Define how the ideas can be share with the multi - disciplinary personals. Lighten on the latest and modern developments in the fields.
  6. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.
    At last students should compile all the knowledge those they acquired from the course and apply to industry, academia, and research keeping in the mind about ethical awareness and impact in the field of environmental (pollution), social (legal) and safety.

 

 

PREREQUISITES

To understand this course, the incumbent must have idea of:

Elementary Physics, Preliminary Idea about Scalar, Vector, Electricity, Magnetism, Newtonian Mechanics.

 

SYLLABI

Module 1: Vector Calculus

1.1 Physical significances of grad, div, curl. Line integral, surface integral, volume integral- physical examplesin the context of electricity and magnetism and statements of Stokes theorem and Gauss theorem [No Proof]. Expression of grad, div, curl and Laplacian in Spherical and Cylindrical co-ordinates.                                                                                                  2L

Module 2: Electrostatics

2.1 Coulumbs law in vector form. Electrostatic field and its curl. Gauss’s law in integral form and conversion to differential form . Electrostatic potential and field, Poisson’s Eqn. Laplace’s eqn (Application to Cartesian,Spherically and Cylindrically symmetric systems – effective 1D problems) Electric current, drift velocity,current density, continuity equation, steady current.5L

2.2 Dielectrics-concept of polarization, the relation D=ε0E+P, Polarizability. Electronic polarization and polarization in monoatomic and polyatomic gases.                                                3L

Module 3: Magnetostatics & Time Varying Field

3. Lorentz force, force on a small current element placed in a magnetic field. Biot-Savart law and its applications, divergence of magnetic field, vector potential, Ampere’s law in integral form and conversion to differential form. Faraday’s law of electro-magnetic induction in integral form and conversion to differential form.                                                                                     3L

Module 4: Electromagnetic Theory

4.1 Concept of displacement current Maxwell’s field equations, Maxwell’s wave equation and its solution for free space. E.M. wave in a charge free conducting media, Skin depth, physical significance of Skin Depth, E.M. energy flow, & Poynting Vector.                                           6L

Module 5: Quantum Mechanics

5.1 Generalised coordinates, Lagrange’s Equation of motion and Lagrangian, generalised force potential, momenta and energy. Hamilton’s Equation of motion and Hamiltonian. Properties of Hamilton and Hamilton’s equation of motion.                                                                        4L

Course should be discussed along with physical problems of 1-D motion

5.2 Concept of probability and probability density, operators, commutator. Formulation of quantum mechanics and Basic postulates, Operator correspondence, Time dependent Schrodinger’s equation, formulation of time independent Schrodinger’s equation by method of separation of variables, Physical interpretation of wave function ψ (normalization and probability interpretation), Expectation values, Application of Schrodinger equation . Particle in an infinite square well potential (1-D and 3-D potential well), Discussion on degenerate levels. 9L

Module 6: Statistical Mechanics

6.1 Concept of energy levels and energy states. Microstates, macrostates and thermodynamic probability, equilibrium macrostate. MB, FD, BE statistics (No deduction necessary), fermions, bosons (definitions in terms of spin, examples), physical significance and application, classical limits of quantum statistics Fermi distribution at zero & non-zero temperature, Calculation of Fermi level in metals, also total energy at absolute zero of temperature and total number of particles, Bose-Einstein statistics . Planck’s law of blackbody radiation.                         7L

 

BEYOND SYLLABI

D’Alembert’s Principle, Derivation of Lagrangian Hamiltonian.

Spherical,Cylindrical co ordinates and physical significance in the problems of electrostatics and magneto statics

Energy level diagram and quantum numbers

Derivation of MB,BE statistics and partition function.

LECTURE/LESSON  PLAN

 

PH301&PH401

 

LECTURE NOTE  

 

Lecture Notes

 

HOMEWORK/ASSIGNMENT

Assignment - I

 Assignment - II

 Assignment - III

 Assignment - IV

 Assignment - V

 Assignment - VI

Assignment – VII (Beyond Syllabi)