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Syllabus (3 - Year M.Sc. Tech. (Applied Geophysics))

PHYSICS- for 2-year M.Sc. (Physics) and 3-year M.Sc.Tech. (Applied Geophysics ) courses:

(a) GENERAL PHYSICS: Linear and angular motion of particles. Newton’s Gravitational law, gravitational field due to geometrical bodies. Kepler’s law, escape velocities and satellites. Rotational motion, Moment of inertia for various geometrical bodies, Elastic modulii and their inter-relations, torque on cylinder, cantilever, ripples and gravity waves, Molecular theory of surface tension, Capillarity for liquid columns, Kinematics of moving fluids, equation of continuity, Euler’s equation, Bernaulli’s theorem, viscosity, Stokes law.

(b) SOUND: Simple harmonic motion and its superposition, Velocity of sound waves. Dispersion and phase and group velocity of waves. Free, damped, forced vibrations. Fourier’s theorem and its applications, analyzing simple waveforms, concept of vibration of membrane, vibration of air column, vibrations of strings, acoustics of auditorium and building.

(c) CLASSICAL MECHANICS: Hamilton’s principle, Lagrange’s and Hamilton’s equations of motion, Motion in a central field, inertia of ellipsoid and principal moments of inertia, moment of rigid body, Euler’s equation of rotating body, gyroscopic motion.

(d) SPECIAL THEORY OF RELATIVITY: Inertial frames and Galilean invariance, Postulates, Lorentz transformation and consequences, length contraction and time dilation, Velocity dependence of mass. Relativistic velocity addition theorem. Mass energy equivalence.

(e) STATISTICAL PHYSICS: Distinguishable and indistinguishable particle, Maxwell-Boltzman, Fermi-Dirac and Bose- Einstein distribution laws. Black body radiation: Planck’s radiation law-Wein’s and Raleigh-Jean’s distribution laws and Stefan’s law.

(f) THERMAL PHYSICS: Kinetic theory of gases. Laws of Thermodynamics, Isothermal and adiabatic processes. Reversible, irreversible and quasi-static processes, Carnot’s cycle, Entropy, Maxwell’s and T-dS equations. Phase transition and Clausius- Clapeyron’s equations, Latent heat equations for liquid and vapour. Liquification of gas, Vander- Waal’s equation, Joule-Thomson effect, Enthalpy, Free energy.

(g) OPTICS: Combination of thin lenses and thick lens, Rayleigh’s criterion and resolving powers. Interference of light, Diffraction of light, Plane and concave gratings. Double refraction, Plane, circular and elliptical polarizations. Dispersion through prisms and grating. Zeeman effect, Stark effect; rotation and vibration spectra of molecules.

(h) ELECTRICITY/MAGNETISM: Gauss’s law, system of charges, conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy, Bio-savart’s law, Ampere’s law, Faraday’s law of electromagnetic induction, self and mutual inductance, electric polarization and displacement, electric images, space- quantization, Stern-Gerlach experiment. Langevin’s theories of dia- and para- magnetism. Weiss’ theory of ferromagnetism, hysteresis, transients, L.C.R. circuit, alternating current, use of J-operator in solving electrical circuit problems, parallel and series-resonant circuits, transformers. Seebeck, Peltier, and Thomson effects, Poisson’s and Laplace’s equations. Maxwell’s field equations, plane electromagnetic waves, Poynting’s theorem, reflection and refraction at dielectric interface.

(i) MODERN PHYSICS: Nuclear disintegration, mass defect, packing fraction, binding energy, nuclear energy, elementary crystallography, crystal binding, Einstein’s and Debye’s theories of specific heat, free electron in metals. Fermi energy and density of states. Elementary band theory. Concept of hole & effective mass, Photoelectric, Compton and Raman effects. Active semiconductor devices- diodes and transistors, rectifier, simple voltage amplifier, principle of oscillator. Radio-activity, α and β spectra; theories of α and β decay.

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