(Syllabus) Joint Admission Test (JAM) Syllabus for Physics (PH) : 2009

Joint Admission Test (JAM) Syllabus for Physics (PH) : 2009

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 and lin­ear second order differential equations.
• 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, Centre 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.
• Principal moments and axes.
• Elasticity, Hooke's law and elastic constants of isotropic solid, stress energy.
• Kinematics of moving fluids, equation of continuity, Euler's equation, Bernoulli's theorem, viscous fluids, surface ten­sion and surface energy, capillarity.

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.
• Zeroeth 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.

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, Schrödinger equation and its solution for one, two and three dimensional boxes.
• Reflection and transmission at a step potential, tunneling through a barrier.
• Pauli exclusion prin­ciple.
• Distinguishable and indistinguishable particles.
• Max-well-Boltzmann, Fermi-Dirac and Bose-Einstein statistics.
• Structure of atomic nucleus, mass and binding energy.
• Ra­dioactivity and its applications.
• Laws of radioactive decay.
• Fission and fusion.

Solid State Physics, Devices and Electronics:

• Crystal structure, Bravais lattices and basis.
• Miller indices.
• X-ray diffraction and Bragg's law, Einstein and Debye theory of specific heat.
• Free electron theory of metals.
• Fermi energy and density of states.
• Origin of energy bands.
• Concept of holes and effective mass.
• Elementary ideas about dia-, para- and ferromagnetism, Langevin's theory of paramag­netism, Curie's law.
• Intrinsic and extrinsic semiconductors.
• Fermi level.
• p-n junctions, transistors.
• Transistor circuits in CB, CE, CC modes.
• Amplifier circuits with transistors.
• Op­erational amplifiers.
• OR, AND, NOR and NAND gates.

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