IIT JAM PHysics: November 2019

Hello friends

Let's skip the talk and get straight to the point

Wanna join IIT for M.Sc. in physics - Here's the syllabus to start preparations

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, 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, Schrodinger equation and its solution for one, two and three dimensional boxes.
Solution of Schrodinger 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 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.

Must do topics + strategy -

Mathematical methods - 1. Matrices and determinants and Jacobian (just an overview will suffice)
2. Vector calculus - as much as you can (will be really useful in eletrodynamics) with an overview of the Stockes', Green's and divergence theorem
3. Differential equations - most of these you already have studied in graduation so revise those
4. Fourier series - overview will suffice
5. Different coordinate systems (infinitesimal line, surface and volume elements plus the expressions for gradient, Laplacian and etc.)

Modern Physics - 1. Special relativity - start with postulates and Lorentz transformations and then formulas for length contraction, time dilation. Relativistic velocity addition theorem, mass energy equivalence, Compton effect and Bohr's atomic model (focus on how to apply these and how to consider frame of references)
2. Go thoroughly through the fundamentals of Quantum mechanics
3. Nuclear physics - binding energy and some formulas like radius formula and radioactivity will suffice

KTG And Thermodynamics - 1. Revise all the higher secondary stuff (like PV diagrams, Carnot's engine and refrigerator, laws of thermodynamics, different processes and ktg)
2.Clausius-Clapeyron equation and Maxwell's thermodynamic relations and simple applications

Oscillations, Waves and Optics - 1. Again revise the higher secondary stuff (like SHM, traveling and standing waves on a string, wave equation, sound and Doppler effect, lenses and mirrors, interference and Young's double slit experiment etc)
2. Lissajous figures, group velocity and phase velocity, diffraction grating and polarization

Solid State Physics, Devices and Electronics - 1. Bravias lattices and Miller indices along with some band theory and Bragg's law and Fermi levels.
2.Solidify your circuit analysis first then go p-n junction, diode characteristics, Bipolar Junction Transistor and its modes, amplifiers and oscillators, Barkhousen criterion
3. Boolean algebra, de Morgan's theorem and logic gates

Mechanics and General Properties of Matter - 1. Revise higher secondary stuff
2. Motion under central forces, conservative and non-conservative forces, gravitation and Kepler's laws (specially the momentum conservation law), conservation laws (energy, momentum and angular momentum)
3. Center of mass, rigid body motion, moment of inertia and radius of gyration
4. Fluid mechanics - just go with the NCERT/higher secondary level and you're good to go with it.

Electricity and Magnetism - 1. First the JEE level stuff
2. Try and Apply vector calculus here and get better at it
3.Maxwell's equations, transmission and reflection coefficients (normal incidence only), Poynting's theorem, Displacement current, Lorentz Force and motion of charged particles in electric and magnetic fields.

Final word - modify the "Must do topics + strategy" according to your convenience and efficiency.

By the way I will be providing the pdf of all the books necessary for preparation like Griffith's, Kleppner Konlekow, Ajoy Ghatak, N Subrahmaniam, hb callen, Boylstead, M L boas etc
So stay tuned for that.

IIT JAM PHysics

Saturday, November 23, 2019

Thursday, November 21, 2019

Wednesday, November 20, 2019

Waves and Oscillation by Brij Lal and N Subrahmanyam

IIT JAM Physics syllabus with some tips