## PHYSICS (Medium - English)

#### PAPER‐I (subject code 1047)

**1. **

**(a) 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 self-energy; Two-body problem; Reduced

mass;Rutherford scattering; Centre of mass and laboratory reference frames.

**(b) 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 tri-atomic molecules; Precessional motion; top, gyroscope.

**(c) Mechanics of Continuous Media :**

Elasticity, Hooke’s law and elastic constants of isotropic solids and their inter-relation; Streamline

(Laminar) flow, viscosity, Poiseuille’s equation, Bernoulli’s equation, Stokes’ law and

applications.

**(d) Special Relativity :**

Michelson-Morely experiment and its implications; Lorentz transformations length contraction,

time dilation, addition of relativistic velocities, aberration and Doppler effect, mass-energy

relation, simple applications to a decay process. Four dimensional momentum vector; Covariance

of equations of physics.

**2. Waves and Optics :**

**(a) 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.

**(b) Geometrial 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.

**(c) Interference :**

Interference of light -Young’s experiment, Newton’s rings, interference by thin films, Michelson

interferometer; Multiple beam interference and Fabry Perot interferometer.

**(d) Diffraction :**

Fraunhofer diffraction – single slit, double slit, diffraction grating, resolving power; Diffraction by

a circular aperture and the Airy pattern; Fresnel diffraction: half-period zones and zone plates,

circular aperture.

**(e) Polarisation 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 fibers; Lasers-Einstein A and B

coefficients. Ruby and He-Ne lasers. Characteristics of laser light-spatial and temporal coherence;

Focusing of laser beams. Three-level scheme for laser operation; Holography and simple

applications.

**3. Electricity and Magnetism : **

**(a) 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,

polarisation. Solutions to boundary-value problems-conducting and dielectric spheres in a uniform

electric field; Magnetic shell, uniformly magnetised sphere; Ferromagnetic materials, hysteresis,

energy loss.

**(b) Current Electricity :**

Kirchhoff’s laws and their applications. Biot-Savart law, Ampere’s law, Faraday’s law, Lenz’ law.

Self-and mutual- inductances; Mean and rms values in AC circuits; DC and AC circuits with R, L

and C components; Series and parallel resonance; Quality factor; Principle of transformer.

**4. 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- Stefan-Boltzmann law,

Wien’s displacement law and Rayleigh-Jeans law.

**5. Thermal and Statistical Physics : **

**(a) 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; Maxwell-

Boltzmann distribution of molecular velocities, transport phenomena, equipartition and virial

theorems; Dulong-Petit, Einstein, and Debye’s theories of specific heat of solids; Maxwell

relations and application; Clausius-Clapeyron equation. Adiabatic demagnetisation, Joule-Kelvin

effect and liquefaction of gases.

**(b) Statistical Physics :**

Macro and micro states, statistical distributions, Maxwell-Boltzmann, Bose-Einstein and Fermi-

Dirac Distributions, applications to specific heat of gases and blackbody radiation; Concept of

negative temperatures.

#### PAPER‐II (subject code 1048)

**1. Quantum Mechanics : **

Wave-particle duality; Schroedinger equation and expectation values; Uncertainty principle;

Solutions of the one-dimensional Schroedinger equation for free particle (Gaussian wave-packet),

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 :**

Stern-Gerlach experiment, electron spin, fine structure of hydrozen atom; L-S coupling, J-J

coupling; Spectroscopic notation of atomic states; Zeeman effect; Franck-Condon principle and

applications; Elementary theory of rotational, vibrational 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 properties-size, binding energy, angular momentum, parity, magnetic moment; Semiempirical

mass formula and applications. Mass parabolas; Ground state of a deuteron, magnetic

moment and non-central forces; Meson theory of nuclear forces; Salient features of nuclear forces;

Shell model of the nucleus – success and limitations; Violation of parity in beta decay; Gamma

decay and internal conversion; Elementary ideas about Mossbauer spectroscopy; Q-value 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; X-ray diffraction, scanning and transmission electron

microscopies; Band theory of solids—conductors, insulators and semi-conductors; Thermal

properties of solids, specific heat, Debye theory; Magnetism: dia, para and ferromagnetism;

Elements of super-conductivity, Meissner effect, Josephson junctions and applications; Elementary

ideas about high temperature super-conductivity.

Intrinsic and extrinsic semi-conductors- p-n-p and n-p-n transistors; Amplifiers and oscillators. Opamps;

FET, JFET and MOSFET; Digital electronics-Boolean identities, De Morgan’s laws, Logic

gates and truth tables. Simple logic circuits; Thermistors, solar cells; Fundamentals of

microprocessors and digital computers.