physics HCS mains optional syllabus Frontier IAS
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physics HCS mains optional syllabus
HCS Syllabus: Physics HCS Mains Optional Syllabus
Conservation Laws, collisions, impact parameter, scattering cross-section, centre of mass . Rutherford Scattering. Motion of a rocket under constant force field Rotating frames of reference. Coriolis force, motion of rigid bodies. Angular momentum. Torque and procession of a top. Central forces, Motion under inverse square law, Kepler‘s Laws, motion of satellites (including geostationary). Galilean Relativeity, Special Theory of Relativity, Mischelson-Morley Experiement, Lorentz transformation-addition theorem of velocities. Variation of mass withvelocity. Mass-Energy equivalence. Fluid dynamics, streamlines, turbulance, Barnoulli‘s Equation with simple applications.
2. Thermal Physics
Laws of thermodynamics, entropy, Carnot‘s cycle, isothermal and adiabatic changes. Thermodynamic Potentials Maxwell‘s relations. The Clausius–Clapeyren equation reversible cell. Joule-Kalvin effect etc. Kinetic theory of gases. Maxwell‘s distribution law of velocities. Equipartition of energy, Specific heats of gases, mean free path. Brownian motion, black body radiation. Specific heat of solids-Einstean & Dabye theories. Wein‘s law, Planck‘s law solar constant.
3. Waves and Oscillations
Oscillations. Simple harmonic motion. Stationary and travelling waves. Damped harmonic motion. Forced oscillation and Resonance. Wave equation. Harmonic solutions. Plane and spherical waves. Superposition of waves,
Phase and group velocities. Beats. Hygen‘s principle Interference. Diffraction Fresnel and Fraunhofer. Diffraction by
single slits. Resolving power of grating and optical instruments. Rayleigh Criterion. Laser sources (Ruby).
Holography, theory and and applications.
1. Electricity & Magnetism
Coulomb‘s Law, electric field. Gauss‘s Law, Electric Potential Poission and Laplace equations for a homogeneous dielectric uncharged conducting sphere in a uniform field. Point charge and infinite conducting plane. Magnetic shell, Magnetic induction and field strength. Blot-Savart law and applications, electromagnetic induction. Faraday‘s and Lenz‘s laws, Self and mutual inductances. Alternating currents. L.C.R. circuits series and parallel resonance circuits, quality factor. Kirchoff‘s laws with application. Transverse nature of electromagnetic waves. Poynting vector. Magnetic fields in matter–dia, para, ferro antioferro and ferri magnetism (qualitative approach only).
2. Modern Physics
Raman effect. Photo-electric effect. Compton effect. Debrogilee waves. Wave particle quality and uncertainty principle. Schrodinger wave equation with application to (i) particle in a box. (ii) Bohr‘s theory of Hatom, calculation of e/m ratia and charge on e—. Principle radioactivity. Alpha, beta and gamma radiations. Elementary theory of the alpha decay. Nuclear binding energy. Nuclear fission and fusion. Elementary reactor physics. Elementary particles and their classification. Strong and weak electromagnetic interactins. Particle accelerators; cyclotron. Elementary ideas of superconductivity.
Band theory of Solids–Conductors, insulators and semiconductors; intrinsic and extrinsic semiconductors, PN junction. Zenner diodes reverse and forward biased P-N junction, use of diodes and transistors for rectification, amplification and oscilliation, Logic Gate (AND, OR, NOT).