## IIT-JAM Physics Syllabus

**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, conservation 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, FermiDirac 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 principle. 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 noninverting 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