Paper-II consists of Part-F (Physics) only — 100 objective multiple choice questions of 3 marks each, 300 marks in 2 hours, with 1 mark deducted for each wrong answer. Standard: graduation level.
Calculus, Integral Calculus, Differential Equations, Fourier Series, Taylor expansion, Vector Algebra, Vector Calculus, Integral Theorems, Linear Algebra and Complex Numbers, Statistics and Error Analysis.
Newton's laws of motion and applications, coordinate systems and kinematics, inertial and non-inertial frames, Centrifugal and Coriolis forces, Motion under a central force, Kepler's Law, Gravitational Law, conservative and non-conservative forces, System of particles, conservation laws, Elastic and inelastic collisions, Moment of inertia, Rigid body dynamics.
Elasticity, surface tension, viscosity, fluid dynamics, kinematics of moving fluids, equation of continuity, Euler's equation, Bernoulli's theorem.
Simple harmonic oscillator, superposition of two or more simple harmonic oscillators, Lissajous figures, damped and forced oscillations, resonance, quality factor and bandwidth.
Wave equation, travelling and standing waves in one dimension, energy density and energy transmission of waves, group velocity and phase velocity, sound waves, Doppler effect.
Geometrical optics — Fermat's principle, Reflection and refraction, mirrors and lenses and image formation, Interference of light and diffraction, Rayleigh Criterion and resolving power, diffraction gratings, polarization: linear, circular and elliptic polarization, double refraction and optical rotation.
Coulomb's law, electric field, electric potential, Gauss's law, conductors and dielectrics, polarization and bound charges, capacitors and capacitances, electrostatic energy, boundary conditions, Laplace equation and boundary value problems, electric current and current density, Ohm's law, DC circuits, AC circuits (RC, LC, LCR), resonance in AC circuits.
Magnetic field, Biot-Savart law, Ampere's circuital law, magnetic vector potential, Lorentz force, Motion of charged particles in electric and magnetic fields, electromagnetic induction, Faraday's law, self and mutual induction, Maxwell's equations, displacement current, EM waves, Poynting vector and energy flow, Reflection and transmission of EM waves.
Kinetic theory postulates, ideal gas equation, pressure and temperature, degree of freedom, equipartition theorem, specific heat of mono-, di- and tri-atomic gases, Maxwell's velocity distribution, most probable velocity, mean and RMS velocity, mean free path, van der Waals gas and equation of state.
Laws of thermodynamics, thermodynamic processes (isothermal, adiabatic, isobaric, isochoric), entropy, reversible, irreversible and quasi-static processes, Carnot cycle, heat engines and efficiency, Maxwell's thermodynamic relations and applications, thermodynamic potentials and their applications, phase transitions, Clausius-Clapeyron equation, microstate and macrostate, ideas of ensembles, Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein distributions.
Inertial frames and Galilean invariance, Special theory of relativity, black body radiation, photoelectric effect, Compton effect, De Broglie waves, uncertainty principle, X-rays, Schrodinger equation and its solution for one, two and three dimensional boxes, particle in a box, harmonic oscillator, potential steps and barrier, tunneling, Bohr atom, atomic spectra, Pauli exclusion principle, structure of atomic nucleus, mass and binding energy, radioactivity and its applications, laws of radioactive decay.
Crystal structure, unit cell and lattice parameters, Bravais lattices, basis and crystal systems, Miller indices, crystal planes and directions, X-ray diffraction and Bragg's law, band theory of solids, conductors, semiconductors and insulators, energy bands, Fermi energy and Fermi level, intrinsic and extrinsic semiconductors, carrier concentration and conductivity, variation of resistivity with temperature.
PN junction diode, diode characteristics, Zener diode and its applications, rectifiers, bipolar junction transistors (BJT), CB, CE and CC configurations, transistor characteristics.
Single-stage amplifiers, two-stage RC-coupled amplifiers, simple and sinusoidal oscillators, Barkhausen condition, Operational amplifiers (OPAMP) and applications, Inverting and non-inverting amplifiers, Integrator and Differentiator, Boolean algebra: binary number system, conversion from one number system to another number system; binary addition and subtraction. Logic Gates: AND, OR, NOT, NAND, NOR, XOR; Combination of gates, Truth tables, De Morgan's theorem.
