Unit 1
ELCTROMAGNETICS:
Review of electric potential, boundary conditions, Poisson’s and Laplace equation, Laplace equation in one, two and three dimensions, Boundary conditions and Uniqueness theorem, Conductors and second Uniqueness theorem, Review of Electrostatics and Magnetostatics, Maxwell’s equations, Maxwell’s equations: Electrodynamics before Maxwell, Maxwell’s correction to Ampere’s law, Magnetic charge.
Unit 2
WAVE MOTION: Definition of a plane progressive wave. Attenuation of waves. Representation of waves using complex numbers. Differential equation of a plane progressive wave. Phase velocity. Phase and phase difference. Phenomenon of interference and diffraction- Solution of the differential equation of a plane progressive wave. Differential equation of 2-dimensional wave motion.
Unit 3
OPTICS:
Wave nature of light, Spatial and temporal coherence (qualitative treatments), Wave division interference –Young’s experiment, Interference pattern from double slit- Intensity distribution, Fresnel’s double mirror, Fresnel’s biprism, Amplitude division interference: fringes from equal thickness films, unequal thickness film , phase change on reflection, Michelson’s Interferometer. Origin of lasing- types of lasers and its applications
Unit 4
FLUIDS
Fluids at rest- Pascal’s principle-Archimedes principle-Equation of continuity- Fluids in motion- Bernoulli’s Equation-Applications and problems
Unit 5
STATISTICAL MECHANICS: Microstates and Macro states, Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics, Fermi level and its significance.