PAPER: PHYSICS (200 MARKS)
PAPER—I (Marks-100)
I. Mechanics
Vectors: Dots, Cross and triple products, Gradient, divergence, curl andapplications.
Newtonian laws of motion: calculus based approach to kinematics, forces and
dynamics, conservation law of energy; conservation of linear and angular
momentum; Dynamics of rigid body; spin and precession; gyroscope;
Gravitation; planetary motion and satellites; Kepler's laws; centripetal forces
Special theory of relativity: Michelson-Morley experiment and Einstein’s
postulates; Lorentz transformation; time dilation and length contraction;
equivalence of mass and energy.
II. Fluid Mechanics
Surface tension; Viscosity; Elasticity; fluid motion and Bernoulli’s theorem.III. Waves and Oscillations, Optics
Free oscillation with one and two degrees of freedom; forced and dampedoscillations and phenomenon of resonance; Simple harmonic motion; Traveling
waves and transmission of energy; Phase and Group velocity; standing waves;
Basics of sound waves.
Reflection, Refraction, Interference, Diffraction and Polarization of waves; interfero
meter and Newton’s rings; Diffraction Gratings and their resolving power; spectro
meters. Electromagnetic wave equation; normal and anamolous dispersion;
coherence, lasers and applications.
IV. Heat and Thermodynamics
Perfect gas, real gas and Van der Waals equation; Three Laws ofThermodynamics; internal energy; temperature; entropy; Thermal properties of
simple systems; kinetic theory of gases; Maxwellian distribution of molecular
velocities; Brownian motion; Transport phenomena. Classical Maxwell-Boltzmann
Statistics and its application; Bose-Einstein and Fermi-Dirac Statistics.
PAPER—II (Marks-100)
I. Electricity and Magnetism
Electric field due to point charges; Gauss’ law; Electric potential; Poisson andLaplace’s equations; Dielectric medium and Polarization; Capacitance;
Moving charges and resulting magnetic field; Ampere’s law; Magnetic
properties of matter; Faraday’s law of electromagnetic induction; Alternating
current and RLC circuit; Poynting theorem and Poynting Vector. Maxwell's
equations in integral and differential form; scalar and vector potential.
II. Modern and Quantum Physics
Waves and particles and De Broglie’s Hypothesis; Operators and quantum states;observables; time dependent and independent Schrodinger equation; angular
momentum; spin-1/2 particle in a magnetic field; wave mechanics; particle in a
box; tunneling; one-dimensional harmonic oscillator; Heisenber's uncertainty
relationship and indeterminacy based on commutation properties of operators;
Bohr’s theory and quantum numbers including electron spin; Pauli’s exclusion
principle; Spectra of simple systems with one or two valence electrons;
photo electric effect; Compton scattering; pair production; Lande’s g factor
and Zeeman effect. Raman effect;
III. Solid State Physics
Crystal lattice and structure, Bravais lattice, free electron model, Band theory andelectron in a periodic potential, Fermi energy and density of states, n and p type
semiconductors, physics of the transistor and MOSFET, dielectric properties,
magnetic properties and origin of magnetism.
IV. Nuclear Physics
Structure of Nuclei; Radioactivity,, and decay; Methods of detection ofnuclear radiation, Mass Sepectrometer; Accelerators; Phenomenon of
fission; reactor and nuclear power; nuclear fusion and its applications; Elementary
particles and their properties.
SUGGESTED READINGS
1 Perspectives of Modern Physics.by A. Beiser.
2 Fundamentals of Physics. by Halliday & Resnick
3 Introduction to Electromagnetic Fields and Waves. by D. Corson & P. Lorrain.
4 Heat and Thermodynamics. by D. Zemansky
5 Introduction to Quantum Mechanics by D. Griffiths
6 Modern Physics by Serway, Moses, Moyer.
7. Solid State Physics by C. Kittel
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