IIT JAM physics Model paper

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IIT JAM Physics paper has questions from following topics:

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 onedimension.
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.
IIT JAM Physics question paper




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