## Course Curriculum

#### Engineering Physics I (for all branches)

Module-1

Mechanics:

Problems including constraints & friction. Basic ideas of vector calculus and partial differential equations. Potential energy function F = -grad V, equipotential surfaces and meaning of gradient. Conservative and non-conservative forces. Conservation laws of energy & momentum. Non-inertial frames of reference. Harmonic oscillator; Damped harmonic motion forced oscillations and resonance. Motion of a rigid body in a plane and in 3D. Angular velocity vector. Moment of inertia.

Module-2

Optics:

Distinction between interference and diffraction, Fraunhofer and Fresnel diffraction, Fraunhofer diffraction at single slit, double slit, and multiple slits ( only the expressions for max;min, & intensity and qualitative discussion of fringes); diffraction grating(resolution formulac only), characteristics of diffration grating and its applications.

Polarisation : Introduction, polarisation by reflection, polarisation by double reflection, scattering of light, circular and elliptical polarisation, optical activity.

Lasers : Principles and working of laser : population inversion, pumping, various modes, threshold population inversion with examples.

Module-3

Electromagnetism and Dielectric Magnetic Properties of Materials:

Maxwell’s equations. Polarisation, permeability and dielectric constant, polar and non-polar dielecrrics, internal fields in a solid, Clausius- Mossotti equation (expression only), applications of dielectrics.

Magnetisation, permeability and susceptibility, classification of magnetic materials, ferromagnetism, magnetic domains and hysteresis, applications.

Module-4

Quantum Mechanics:

Introduction to quantum physics, black body radiation, explanation using the photon concept, Compton effect, de Broglie hypothesis, wave-particle duality, verification of matter waves, uncertainty principle, Schrodinger wave equation, particle in box, quantum harmonic oscillator, hydrogen atom.

Module-5

Statistical Mechanics:

Macrostate, Microstate, Density of states, Qualitative treatment of Maxwell Boltzmann, Fermi-Dirac and Bose-Einstein statistics.

#### Engineering Physic II (for all branches except EE)

Module -1
Physical significances of grad, div, curl. Line integral,  surface integral, volume integral- physical examples in 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.

Module -2
Electricity 2.1 Coulumb’s 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.
2.2 Dielectrics-concept of polarization, the relation D=ε0E+P, Polarizability. Electronic  polarization and polarization in monoatomic and polyatomic gases.

Module -3
Magnetostatics & Time Varying Field:  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 .

Module -4
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

Module -5
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. (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 Schrödinger’s equation, formulation of time independent Schrödinger’s equation by method of separation of variables, Physical interpretation of wave function ψ (normalization and probability interpretation), Expectation values, Application of Schrödingerequation - Particle in an infinite square well potential (1-D and 3-D potential well), Discussion on degenerate levels.

Module -6
Statistical Mechanics: 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.

#### Engineering Physic II (for EE)

Module -1

Quantum mechanics:

Generalized co-ordinates, Lagrange’s equation of motion and Lagrangian, generalized force potential, moment and energy. Hamilton’s Equation of motion and Hamiltonian. Properties of Hamilton and Hamilton’s equation of motion.

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

Module -2

Statistical mechanics:

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 and non –zero temperature.

Module -3

Dielectric Properties:

Dielectric Material: Concept of Polarization, the relation between D, E and P, Polarizability, Electronic, Ionic, Orientation & Space charge polarization, behavior of Dielectric under alternating field, Dielectric losses. The Magnetic properties:

Magnetization M, relation between B, H & M. Bohr megneton, Diamagnetism-Larmor frequency & susceptibility, Curie law, Weiss molecular field theory & Curie-Weiss law, Hysteresis loss, Antiferromagnetism, Ferromagnetism & Ferrites (analitative).

Module -4

Crystal structure

Crystal structure- Bravais lattice, Miller indices

Crystal diffraction (qualitative), Bragg's law and reciprocal lattice,Brillouin zone. (Qualitative description)

Free electron theory of metal – calculation of Fermi energy, density of states.

Band theory of solids- Bloch theorem, Kronig Penny model.

Electronic conduction in solids-Drude’s theory, Boltzmann equation, Wiedemann Frantz law.

Semiconductor-Band structure, concept of electron and holes, Fermi level, density of states.    Important contacts

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