PAPER  I
1. i.
Mechanics of Particles:
Laws of motion; conservation of energy and momentum, applications to
rotating frames, centripetal and Coriolis accelerations;
Motion under a central force; Conservation of angular
momentum, Kepler’s laws; Fields and potentials;
Gravitational field and potential due to spherical bodies,
Gauss and Poisson equations, gravitational selfenergy;
Twobody problem; Reduced mass; Rutherford scattering;
Centre of mass and laboratory reference frames.
ii. Mechanics of Rigid Bodies:
System
of particles; Centre of mass, angular momentum, equations of
motion; Conservation theorems for energy, momentum and
angular momentum; Elastic and inelastic collisions; Rigid
body; Degrees of freedom, Euler’s theorem, angular velocity,
angular momentum, moments of inertia, theorems of parallel
and perpendicular axes, equation of motion for rotation;
Molecular rotations (as rigid bodies); Di and triatomic
molecules; Precessional motion; top, gyroscope.
iii. Mechanics of Continuous Media:
Elasticity, Hooke’s law and elastic constants of isotropic
solids and their interrelation; Streamline (Laminar) flow,
viscosity, Poiseuille’s equation, Bernoulli’s equation,
Stokes’ law and applications.
iv.
Special Relativity:
MichelsonMorley experiment and its implications; Lorentz
transformationslength contraction, time dilation, addition
of relativistic velocities, aberration and Doppler effect,
massenergy relation, simple applications to a decay
process; Four dimensional momentum vector; Covariance of
equations of physics.
2. Waves and Optics:
i.
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 Huygens' principle.
ii.
Geometrical Optics:
Laws of reflection and refraction from Fermat's principle;
Matrix method in paraxial opticsthin lens formula, nodal
planes, system of two thin lenses, chromatic and spherical
aberrations.
iii.
Interference:
Interference of lightYoung's experiment, Newton's rings,
interference by thin films, Michelson interferometer;
Multiple beam interference and FabryPerot interferometer.
iv.
Diffraction:
Fraunhofer diffractionsingle slit, double slit, diffraction
grating, resolving power; Diffraction by a circular aperture
and the Airy pattern; Fresnel diffraction: halfperiod zones
and zone plates, circular aperture.
v.
Polarization and Modern Optics: Production and detection of linearly and
circularly polarized light; Double refraction, quarter wave
plate; Optical activity; Principles of fibre optics,
attenuation; Pulse dispersion in step index and parabolic
index fibres; Material dispersion, single mode fibres;
LasersEinstein A and B coefficients; Ruby and HeNe lasers;
Characteristics of laser lightspatial and temporal
coherence; Focusing of laser beams; Threelevel scheme for
laser operation; Holography and simple applications.
3.
Electricity and Magnetism:
i.
Electrostatics and Magnetostatics:
Laplace and
Poisson equations in electrostatics and their applications;
Energy of a system of charges, multipole expansion of scalar
potential; Method of images and its applications; Potential
and field due to a dipole, force and torque on a dipole in
an external field; Dielectrics, polarization; Solutions to
boundaryvalue problemsconducting and dielectric spheres in
a uniform electric field; Magnetic shell, uniformly
magnetized sphere; Ferromagnetic materials, hysteresis,
energy loss.
ii.
Current Electricity:
Kirchhoff's laws and their applications; BiotSavart
law, Ampere's law, Faraday's law, Lenz' law; Selfand
mutualinductances; Mean and r m s values in AC circuits; DC
and AC circuits with R, L and C components; Series and
parallel resonances; Quality factor; Principle of
transformer.
iii.
Electromagnetic Waves and Blackbody Radiation:
Displacement
current and Maxwell's equations; Wave equations in vacuum,
Poynting theorem; Vector and scalar potentials;
Electromagnetic field tensor, covariance of Maxwell's
equations; Wave equations in isotropic dielectrics,
reflection and refraction at the boundary of two
dielectrics; Fresnel's relations; Total internal reflection;
Normal and anomalous dispersion; Rayleigh scattering;
Blackbody radiation and Planck’s radiation law, StefanBoltzmann
law, Wien’s displacement law and RayleighJeans’ law.
4.
Thermal and Statistical Physics:
i.
Thermodynamics:
Laws of thermodynamics, reversible and irreversible
processes, entropy; Isothermal, adiabatic, isobaric,
isochoric processes and entropy changes; Otto and Diesel
engines, Gibbs' phase rule and chemical potential; van der
Waals equation of state of a real gas, critical constants;
MaxwellBoltzman distribution of molecular velocities,
transport phenomena, equipartition and virial theorems;
DulongPetit, Einstein, and Debye's theories of specific
heat of solids; Maxwell relations and applications; Clausius
Clapeyron equation; Adiabatic demagnetisation, JouleKelvin
effect and liquefaction of gases.
ii.
Statistical Physics:
Macro and micro states, statistical distributions,
MaxwellBoltzmann, BoseEinstein and FermiDirac
distributions, applications to specific heat of gases and
blackbody radiation; Concept of negative temperatures.
PAPER  II
1.
Quantum Mechanics: Waveparticle
dualitiy; Schroedinger equation and expectation values;
Uncertainty principle; Solutions of the onedimensional
Schroedinger equation for a free particle (Gaussian
wavepacket), particle in a box, particle in a finite well,
linear harmonic oscillator; Reflection and transmission by a
step potential and by a rectangular barrier; Particle in a
three dimensional box, density of states, free electron
theory of metals; Angular momentum; Hydrogen atom; Spin half
particles, properties of Pauli spin matrices.
2.
Atomic and Molecular Physics: SternGerlach
experiment, electron spin, fine structure of hydrogen atom;
LS coupling, JJ coupling; Spectroscopic notation of atomic
states; Zeeman effect; FrankCondon principle and
applications; Elementary theory of rotational, vibratonal
and electronic spectra of diatomic molecules; Raman effect
and molecular structure; Laser Raman spectroscopy;
Importance of neutral hydrogen atom, molecular hydrogen and
molecular hydrogen ion in astronomy; Fluorescence and
Phosphorescence; Elementary theory and applications of NMR
and EPR; Elementary ideas about Lamb shift and its
significance.
3.
Nuclear and Particle Physics: Basic
nuclear propertiessize, binding energy, angular momentum,
parity, magnetic moment; Semiempirical mass formula and
applications, mass parabolas; Ground state of deuteron,
magnetic moment and noncentral forces; Meson theory of
nuclear forces; Salient features of nuclear forces; Shell
model of the nucleus  successes and limitations; Violation
of parity in beta decay; Gamma decay and internal
conversion; Elementary ideas about Mossbauer spectroscopy;
Qvalue of nuclear reactions; Nuclear fission and fusion,
energy production in stars; Nuclear reactors.
Classification of elementary particles and their
interactions; Conservation laws; Quark structure of hadrons;
Field quanta of electroweak and strong interactions;
Elementary ideas about unification of forces; Physics of
neutrinos.
4.
Solid State Physics, Devices and Electronics:
Crystalline and amorphous structure of matter; Different
crystal systems, space groups; Methods of determination of
crystal structure; Xray diffraction, scanning and
transmission electron microscopies; Band theory of solids 
conductors, insulators and semiconductors; Thermal
properties of solids, specific heat, Debye theory;
Magnetism: dia, para and ferromagnetism; Elements of
superconductivity, Meissner effect, Josephson junctions and
applications; Elementary ideas about high temperature
superconductivity.
Intrinsic
and extrinsic semiconductors; pnp and npn transistors;
Amplifiers and oscillators; Opamps; FET, JFET and MOSFET;
Digital electronicsBoolean identities, De Morgan's laws,
logic gates and truth tables; Simple logic circuits;
Thermistors, solar cells; Fundamentals of microprocessors
and digital computers.
