WBCS Physics Optional Paper Syllabus [Code:31]
Paper – I :
Particle Dynamics : Centre of mass and laboratory coordinates. Conservation of linear and angular momentum. The rocket equation. Degrees of freedom. Generalized coordinates and moments. Lagrange’s equation and application to linear harmonic oscillator. Simple pendulam and central force problems.
Special Relativity : Michelson-Morley experiment and its implications. Lorentz transformation – length contraction, time dilation, addition of velocities, aberration and Doppler effect, mass-energy relation, simple application to a decay process.
Waves : Simple harmonic motion, damped oscillation, forced oscillation and resonance, Beats, Stationary Waves in a string, pulses and wave packets. Phase and group velocities. Reflection and Refraction from Huygen’s principle.
Geometrical Optics : Laws of reflection and refraction from Fermat’s principle. Matrix method in paraxial optic-thin lens formula, nodal planes, system of two thin lenses. Chromatic and spherical aberrations.
Physical Optics : Interference, Diffraction, Polarization optical activity.
Fibre Optics : General principle. Classification of fibres. Advantages. Application.
Lasers : General principle. Salient features-directionality, intensity, monochromaticity, coherence. Einstein’s A and B coefficients; Ruby, He-Ne, Semiconductor, Quantum-well, Distributed-feedback edge emitting and vertical cavity surface-emitting lasers.
Electrostatics : Laplace and Poisson equations in electro-statics and their application. Energy of a system of charges. Potential and field due to dipole, force and torque on a dipole in an external field. Dielectrics.
Magnetism : Magnetic shell, uniformly magnetized sphere, ferromagnetic materials, hysteresis.
Current Electricity : Kirchoff’s Laws and their application; Biot-Savart law, Ampere’s law, Faraday’s Law, Lenz’s Law, Self and mutual inductances, Mean and rms values in AC circuits, LRCR and LCR circuitsseries and parallel resonance. Black body radiation, Planck’s Law, Stefan Boltzmann Law, Wien displacement Law, Rayleigh-Jeans Law, Planck mass, Planck-length, Planck time, Planck temperature and Planck energy.
Thermodynamics : Laws; reversible and irreversible processes; entropy; iso-thermal, adiabatic, isobaric and isochoric processes.
Paper – II :
Vander Waal’s equation of state for real gas. Critical constants. Maxwell-Boltzmann distribution of molecular velocities. Equipartition and virial theorems. Specific heat of solids, Clausius-Clapeyron equation. Adiabatic demagnetiszation. Joule-Kelvin effect. Liquefaction of gases.
Statistical Physics : Saha ionization formula, Bose-Einstein condensation, thermodynamic behaviour of an ideal Fermi gas, Chandrasekhar limit.
Quantum Mechanics : Wave particle duality, Schroedinger equation, Uncertainty principle, Solution of the one dimensional Schroedinger equation, Particle in a box.
Atomic Physics : Stern-Gerlach experiment, electron spin, fine structure of hydrogen atom, L-S coupling, J-J coupling, Zeeman effect, Frank-Condon principle.
Molecular Physics : Rotational, vibrational and electronics spectra of diatomic molecules, Raman effect, NMR, Fluorescence and Phosphorescence.
Nuclear Physics : Binding energy, Meason theory, Shell model, Nuclear reaction-fission-fusion, Nuclear reactors.
Solid State Physics : Energy band in solids, Metal, insulator, semiconductor, Elements of super conductivity.
Electronics : Properties of semiconductors; Junction diodes; Amplifiers and Oscillators; Integrated circuits, operational Amplifiers; field effect transistors, JFET, MOSFET; Thermistors, Solar cells, Principles of holography.
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