## JAM PHYSICS SYLLABUS

##### PHYSICS (PH)

**Mathematical Methods:** Calculus of single and multiple
variables, partial derivatives, Jacobian, imperfect and perfect
differentials, Taylor expansion, Fourier series. Vector
algebra, Vector Calculus, Multiple integrals, Divergence
theorem, Green’s theorem, Stokes’ theorem. First order
equations and linear second order differential equations with
constant coefficients. Matrices and determinants, Algebra of
complex numbers.

**Mechanics and General Properties of Matter:** Newton’s
laws of motion and applications, Velocity and acceleration in
Cartesian, polar and cylindrical coordinate systems, uniformly
rotating frame, centrifugal and Coriolis forces, Motion under a
central force, Kepler’s laws, Gravitational Law and field,
Conservative and non-conservative forces. System of particles,
Center of mass, equation of motion of the CM, conservation of
linear and angular momentum, con-servation of energy, variable
mass systems. Elastic and inelastic collisions. Rigid body
motion, fixed axis rotations, rotation and translation, moments
of Inertia and products of Inertia, parallel and perpendicular
axes theorem. Principal moments and axes. Kinematics of moving
fluids, equation of continuity, Euler’s equation, Bernoulli’s
theorem.

**Oscillations, Waves and Optics:** Differential equation
for simple harmonic oscillator and its general solution.
Superposition of two or more simple harmonic oscillators.
Lissajous figures. Damped and forced oscillators, resonance.
Wave equation, traveling and standing waves in one-dimension.
Energy density and energy transmission in waves. Group velocity
and phase velocity. Sound waves in media. Doppler Effect.
Fermat’s Principle. General theory of image formation. Thick
lens, thin lens and lens combinations. Interference of light,
optical path retardation. Fraunhofer diffraction. Rayleigh
criterion and resolving power. Diffraction gratings.
Polarization: linear, circular and elliptic polarization.
Double refraction and optical rotation.

**Electricity and Magnetism:** Coulomb’s law, Gauss’s law.
Electric field and potential. Electrostatic boundary
conditions, Solution of Laplace’s equation for simple cases.
Conductors, capacitors, dielectrics, dielectric polarization,
volume and surface charges, electrostatic energy. Biot-Savart
law, Ampere’s law, Faraday’s law of electromagnetic induction,
Self and mutual inductance. Alternating currents. Simple DC and
AC circuits with R, L and C components. Displacement current,
Maxwell’s equations and plane electromagnetic waves, Poynting’s
theorem, reflection and refraction at a dielectric interface,
transmission and reflection coefficients (normal incidence
only). Lorentz Force and motion of charged particles in
electric and magnetic fields.

**Kinetic theory, Thermodynamics:** Elements of Kinetic
theory of gases. Velocity distribution and Equipartition of
energy. Specific heat of Mono-, di- and tri-atomic gases. Ideal
gas, van-der-Waals gas and equation of state. Mean free path.
Laws of thermodynamics. Zeroth law and concept of thermal
equilibrium. First law and its consequences. Isothermal and
adiabatic processes. Reversible, irreversible and quasi-static
processes. Second law and entropy. Carnot cycle. Maxwell’s
thermodynamic relations and simple applications. Thermodynamic
potentials and their applications. Phase transitions and
Clausius-Clapeyron equation. Ideas of ensembles,
Maxwell-Boltzmann, Fermi-Dirac and Bose Einstein distributions.

**Modern Physics:** Inertial frames and Galilean invariance.
Postulates of special relativity. Lorentz transformations.
Length contraction, time dilation. Relativistic velocity
addition theorem, mass energy equivalence. Blackbody radiation,
photoelectric effect, Compton effect, Bohr’s atomic model,
X-rays. Wave-particle duality, Uncertainty principle, the
superposition principle, calculation of expectation values,
Schrödinger equation and its solution for one, two and three
dimensional boxes. Solution of Schrödinger equation for the one
dimensional harmonic oscillator. Reflection and transmission at
a step potential, Pauli exclusion prin-ciple. Structure of
atomic nucleus, mass and binding energy. Radioactivity and its
applications. Laws of radioactive decay.

**Solid State Physics, Devices and Electronics:** Crystal
structure, Bravais lattices and basis. Miller indices. X-ray
diffraction and Bragg's law Intrinsic and extrinsic
semiconductors, variation of resistivity with temperature.
Fermi level. p-n junction diode, I-V characteristics, Zener
diode and its applications, BJT: characteristics in CB, CE, CC
modes. Single stage amplifier, two stage R-C coupled
amplifiers. Simple Oscillators: Barkhausen condition,
sinusoidal oscillators. OPAMP and applications: Inverting and
non-inverting amplifier. Boolean algebra: Binary number
systems; conversion from one system to another system; binary
addition and subtraction. Logic Gates AND, OR, NOT, NAND, NOR
exclusive OR; Truth tables; combination of gates; de Morgan’s
theorem.