IIT JAM 2019 Syllabus for Physics (PH)

IIT JAM 2019 – In engineering, science & technology and research in frontier areas, for quality education, IITs and IISc are institutions of national importance and are well known all over the world. In order to pursue Research and Development careers in frontier areas of basic sciences as well as interdisciplinary areas of science and technology, the vibrant academic ambience and well-equipped research infrastructure of IISc & IITs motivate the students. In an intellectually stimulating environment, the aim of IITs and IISc is to build a sound foundation of knowledge, pursue excellence and enhance creativity.

IIT JAM – Admissions

To M.Sc. (Four Semesters), Joint M.Sc.-Ph.D., M.Sc.-Ph.D. Dual Degree, etc, to provide admissions Joint Admission Test for M.Sc. (JAM) is being conducted from 2004. At the IITs and Integrated PhD Degree Programmes, for bright students, programmes at IISc for consolidating Science as a career option are being conducted.

At IITs and IISc, in their respective disciplines, comparable to the best in the world, these postgraduate programmes offer high-quality education. To provide opportunities to the students, the curricula for these programmes are designed apart from developing academic talent leading to a challenging and rewarding professional life.

Syllabus of Physics – IIT JAM 2019

Mathematical Methods

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

Mechanics and General Properties of Matter

Gravitational Law and field, Conservative and non-conservative forces; 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, 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, the equation of continuity, Euler’s equation, Bernoulli’s theorem;

Oscillations, Waves and Optics

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

Electricity and Magnetism

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). 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; 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

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; Inertial frames and Galilean invariance; Postulates of special relativity; Lorentz transformations; Length contraction, time dilation; Relativistic velocity addition theorem, mass-energy equivalence; 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

Boolean algebra; Binary number systems; conversion from one system to another system; binary addition and subtraction; 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; Logic Gates AND, OR, NOT, NAND, NOR exclusive OR; Truth tables; a combination of gates; de Morgan’s theorem;

Reference books for Physics – IIT JAM 2019

  • Mathematical Methods for Physics & Engineering by Riley, Hobson & Bence
  • Introduction to Electrodynamics by David J. Griffiths
  • Electricity & Magnetism by B.Ghosh
  • Quantum Mechanics by Zeitlin & Griffith
  • Quantum Mechanics by MC Jain
  • Classical Mechanics by Kepler or Barclays, and HJ Pain
  • Molecular and Atomic Physics by Rajkumar / White
  • Thermodynamics by Zemanski Dittman, Saha Srivastava/ F. W. Sears and G. L. Salinger
  • Optics by Ghatak/ Brijlal and Subhramanyam
  • Solid State Physics by Kittel / M A Omar / S O Pillai
  • Semiconductor and Electronics by Boylested /Gaekwad

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