QUESTION PAPER ANALYSIS LAST 10 YEARS

MATHEMATICAL METHODS IN PHYSICS

TOPIC	NUMBER OF QUESTIONS
Dimensional analysis	1
Vector algebra and vector calculus	10
Matrices	7
Cayley-Hamilton Theorem	1
Eigenvalues and eigenvectors	14
Linear ordinary differential equations of first & second order	15
Special functions (Hermite, Bessel, Laguerre and Legendre functions)	9
Fourier series	2
Fourier Transform	7
Inverse Laplace Transform	1
Laplace Transform	4
Complex Analysis	7
Taylor & Laurent series	7
Poles, Residues and evaluation of integrals	17
Probability theory	10
Binomial, Poisson and Normal distributions	5
Random Variables and Random Walk	13
Green's function	5
Partial differential equations	6
Computational techniques: interpolation, extrapolation and Finite difference methods	5
Integration by Trapezoid and Simpson's rule	7
RungeKutta method	0
Tensors	3
Introductory group theory: SU(2), O(3)	7
Miscellaneous	10

ELECTRONICS

TOPIC	NUMBER OF QUESTIONS
Semiconductor devices (diodes, junctions, transistors, field effect devices)	14
Decoder and Encoder circuit	2
Operational amplifiers	18
Counters	8
Registers	2
Truth table and Basic gates, circuit analysis	15
Zener Diode and it's applications	4
Frequency dependent Circuit analysis	7
A/D and D/A converters	3
Data interpretation and analysis	6
Precision and accuracy	2
Error analysis	7
Least squares fitting	1
Transducers (temperature, pressure/vacuum, magnetic fields, vibration, optical, and particle detectors)	2
Impedance matching	2
Lock-in detector, Box-car integrator, Modulation techniques	1
High frequency devices	1
Miscellaneous	9

SOLID STATES PHYSICS

TOPIC	NUMBER OF QUESTIONS
Crystal structure	7
Reciprocal lattice	1
Reciprocal lattice	-
Diffraction	5
Lattice vibration	2
Band theory of solid	7
Thermal properties	1
Electrical properties	1
Magnetic properties	-
Superconductivity	6
Hall effect	2
Fermi level	3
Density of state	8
Semiconductor	4
Lattice defects	2
Tight binding approximation	8
Specific heat	1

NUCLEAR PHYSICS

TOPIC	NUMBER OF QUESTIONS
Basic properties of nucleaus	1
Relativistic behaviour	3
Be, mass defect	0
Cross section	1
Mirror nuclei	1
Radioactivity	7
Liquid drop model	6
Shell model	7
Particle physics
Elementary particles	0
Nuclear reaction	10
Quark model	4
Conservation laws	1
Deep inelastic scattering	1

QUANTUM MECHAQNICS

TOPIC	NUMBER OF QUESTIONS
Time evolution of wavefunction	6
Commutator	9
Operators	5
Unitary transformation	1
Ehrnfest theorum	2
Probability of finding a particle in a given region	4
Schrodinger equation	3
Expectation value of energy	5
Step potential	1
1-D BOX	5
2-D BOX	1
3-D BOX	2
Finite potential well	2
Uncertainity in position or momentum	6
Eigen vnalue and eigen function	3
1D linear harmonic oscilator	3
2D harmonic oscillator	1
3D harmonic oscillator	1
Orbital angular momentum	13
Spin angular momentum	4
Pauli matrices	4
Identical particles	2
Hydrogen atom	6
Expectation value of position or momentum	4
Time independent non degenerate pertubation	15
Time independent degenerate pertubaton	2
Time dependent pertubation	2
First born approximation	6
Partial wave analysis	4
Wkb approximation method	7
Wavefunction for a given potential	1
Variational Principle	5
Scattering Theory	1

CLASSICAL MECHANICS

TOPIC	NUMBER OF QUESTIONS
Kinemetics	4
Simple Harmonic Motion	7
Gravitation	3
Collision and Impulse	4
Moment of inertia	4
Rigid body dynamics	2
Centrifugal and coriolis force	4
Lagrangian dynamics	18
Hamiltonian dynamics	12
Canonical Transformation	6
Poisson Brackets	5
Phase space trajectory	7
Stability Analysis	7
Action angle variable	4
Virial Theorem	2
Small Oscillations	3
Central force Motion	8
Relativistic collisions and decay	4
Length Contraction , Time dilation and Simultaniety	4
Lorentz Transformation and velocity addition	11
Relativistic energy momentum relation	3
Relativistic Kinematics	1

THERMODYNAMICS & STATISTICAL METHODS

TOPIC	NUMBER OF QUESTIONS
THERMODYNAMICS
Calorimetry Principle	4
Kinetic Theory of Gases	2
Zeoth law of thermodynamics	3
1st law of thermodynamics	2
Reversible & Irreversible Process	2
Work done by the gas/system	2
2nd law of thermodynamics	3
Entropy	9
Thermodynamic processes	2
Carnot Theorem	3
Thermodynamic Potentials	3
Vander waal's equation of state	3
Clausius-Clayperon Equation	1
Maxwell Relations	1
STATISTICAL METHODS
Probability	5
Random Walk	4
Phase Space	1
Density of states	2
Micro - and Macro - states	2
Micro-canonical ensemble	1
Canonical ensemble and their partition function	9
Grand-Canonical ensemble and their partition function	2
Free energy and its connection with thermodynamic quantities	9
Equipartition Theorem	2
Maxwell's Velocity Distributive Law	2
Maxwell-Boltzmann Statistics	5
Classical Ideal Gas	2
Bose-Einstein Statistics	3
Ideal Bose Gas	3
Black-Body Radiation	7
Fermi-Dirac Statistics	3
Ideal Fermi Gas	3
Diamagnetism	-
Paramagnetism	3
Ferromagnetism	1
Ising Model	10
Bose-Einstein Condensation	1
Brownian Motion	1

ELECTROMAGNETICS THEORY

TOPIC	NUMBER OF QUESTIONS
Coulomb Law	11
Coulomb Law	8
Laplace and poisson's equation	4
Boundary value problems	1
Bio-Savart's Law	7
Ampere's Law	7
Electromagnetic Induction	7
Maxwell's Equation in Free Space	1
Maxwell's Equation in Linear Isotropic Media	2
Continuity equation	1
Boundary Conditions on the fields at interface	4
Scalar and vector potentials	8
Gauge Invariance	4
Dielectrics and conductors	6
Reflection and Refraction	2
Polarization	6
Fresnel's Law	-
Interferance	11
Coherance	1
Diffraction	-
Dynamic of charged particles in static and uniform electromagnetic field	2
Poynting Vector	6
Dispersion relation in plasma	-
Lorentz invariance of Maxwell's equation	8
Transmission lines and wave guide	4
Radiations from moving charges, dipoles and retarded potentials	2
skin depth	2

ATOMIC MOLACULAR PHYSICS

NET PHYSICAL SCIENCE Paper Analysis