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PHYSICS
Paper-I
Mechanics, Thermal Physics and Waves and Oscillations Mechanics: Conservation Laws. Collision impact parameter, Scattering process-section, centre of mass and lab systems with transformation of physical quantities, 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, Gyroscope.
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Central forces Motion under inverse square law, Kepler's laws, Motion of Satellites (including geostotionary). Galilean Ralativity, Special Theory of
Relativity, Michelson-Morley Experiment Lorentz Transformations -addition theorem of velocities. Variation of mass with Velocity, Mass-energy equivalence. Fluid dynamics, streamlines, turbulence, Bernoulli's Equation with simple applications.
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Thermal Physics: Laws of Thermodynamics, Entrophy, Carrnot's cycle, Isothermal and Adiabatic Changes. Thermodynamics Potentials, Maxwell's relations, the Clusius-Clapeyron equation, reversible cell, Joule-Kelvin effect, Stefan-Boltzmann Law. 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-Einstein & Debye theories, Wein's Law, Plank's Law, Solar Constant. Thermalionisation and Stellar spectra. Production of law temperatures using adiabatic demagnatisation and delution refrigeration, concept of negative temperature.
Electronics: Band theory of solids-conductors, insulators and semiconductors, Intrinsic and extrinsic semiconductors. P-N junction, Thermistor Zenner dicdes reverse and forward biased P-N junction, solar cell. Use of diodes and transistors for rectification, amplification, oscillation, modulation and detection of r.f. waves. Transistor receivers. Television. Logic Gates.
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Waves and Oscillations: Oscillations, Simple harmonic motion, stationary and travelling waves,. Damped harmonic motion, Forced oscillation & Resonance. Wave equation, Harmonic Solutions, Plane and' Spherical waves, superposition of waves, Phase and Group velocities, Beats; Huygen's principle, Interference. Diffraction Fresnet & Fraunhofer. Diffraction by straight edge, Single and multiple slits. Resolving power of grating and Optical Instruments.
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Rayleigh Criterion. Polarisation; Production and Detection of polarised light (linear, circular and elliptical). Laser sources (Helium-Neon, Ruby and semi conductor diode). Concepts of spatial and temporal coherence. Diffraction as a Fourier Transformation. Fresnel and Fraunhofer diffraction by rectangular and circular apertures, Holography; theory and applications.
Paper-II
Electricity & Magnetism Modern Physics and Electronics
Electricity & Magnetism: Coulomb's Law. Electric field. Gauss's law, Electric-potential. Poisson and Laplace equations for a homogeneous dielectric, uncharged conducting sphere in a uniform field, Point charge and infinite conducting plane.
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Magnetic shell. Magnetic induction and field strength. Biot-Savart law and applications. Electromagnetic induction, Faraday's and Lanz's laws, Self and Mutual inductances. Alternating currents. L.C.R. circuits, series and parallel resonance circuits, quality factor. Kirchoffs laws with applications. Maxwell's equations and electromagnetic waves, Transverse nature of electromagnetic wave Ponting vector.. Magnetic field in matter-dia, para, ferro antiferro and ferri magnetism (qualitative approach only).
Modern Physics: Bohr's theory of hydrogen atom. Electron spin. Optical and X-ray Spectra. Stern-Gerlach experiment and spatial quantization. Vector model of the atom, spectral terms, fine structure of spectral lines. J-J and L-S coupling, Zeeman effect, Pauli's exclusion principle, spectral terms of two equivalent and non equivalent electrons. Gross and fine structure of electronics band Spectra. Raman effect. Photoelectric effect. Compton effect. Debrogile waves. Wave-Particle duality and uncertainties principle. Schrodiner wave equation with application to (i) particle in a box, (ii) motion across one step potential. One dimensional harmonic oscilator, Eigen values and Eigen functions. Uncertainty Principle, Radioactivity-Alpha, beta and gamma radiation. Elementary theory of the alpha decay. Nuclear binding energy. Mass spectroscopy, Semi empirical mass formula. Nuclear fission and fusion. Elementary Reactor Physics. Elementary particles and their classification. Strong, and Week Electromagnetic interactions. Particle accelerator; cyclotron, Leniar accelerators, Elementary ideas of Superconductivity.
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