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1. M.Sc. Physics Syllabus-1

1. M.Sc. Physics Syllabus-1 - Revised Syllabus PHYUT501...

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Revised Syllabus PHYUT501 CLASSICAL MECHANICS 1 Constrained Motion Constraints, Classification of Constraints, Principal of Virtual Work, D’Alembert’s principal and its applications (Problems only), (One or Two Problems should be discussed with D’Alembert’s, Lagrangian, Hamiltons from same set of problems). (2L+2P) . 2 Lagrangian formulation Generalized coordinates, Langrange’s equations of motion, properties of kinetic energy function, theorem on total energy, generalized momenta, cyclic-coordinates, integrals of motion, Jacobi integrals and energy conservation, Concept of symmetry, invariance under Galilean transformation, velocity dependent potential. (6L+5P) 3 Hamilton’s formulation Hamilton’s function and Hamilton’s equation of motion, configuration space, phase space and state space, Lagrangian and Hamiltonian of relativistic particles and light rays. (3L+4P) 4 Variational Principle Variational principle, Euler’s equation, applications of variational principle, shortest distance problem, brachistrochrone, Geodesics of a Sphere. (3L+2P) 5 Canonical Transformations Generating function, Conditions for canonical transformation and problem. (3L+2P) 6 Poisson Brackets Definition, Identities, Poisson theorem, Jacobi-Poisson theorem, Jacobi identity, (statement only), invariance of PB under canonical transformation. (2L+3P) 7 Rotational Motion Rotating frames of reference, inertial forces in rotating frames, Larmour precision, electromagnetic analogy of inertial forces, effects of Coriolis force, Focoult’s pendulum. (3L+3P) 8 Central Force Two body central force problem, stability of orbits, condition for closure, integrable power laws, Kepler’s problems, orbits of artificial satellites, Virial theorem. (3L+2P)

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Reference Books : 1. Classical Mechanics by H.Goldstein, Narosa Publishing Home,, New Delhi. 2. Classical Dynamics of Particles and Systems by Marion and Thomtron, Third Edition, Horoloma Book Jovanovich College Publisher. 3. Classical Mechanics by P.V.Panat, Narosa Publishing Home,, New Delhi. 4. Classical Mechanics by N.C.Rana and P.S.Joag, Tata Mc-Graw Hill Publishing Company Limited, New Delhi. 5. Introduction to Classical Mechanics by R.G.Takawale and P.S.Puranik, Tata Mc-Graw Hill Publishing Company Limited, New Delhi. 6. Classical Mechanics by J.C.Upadhyaya, Himalaya Publishing House.
Revised Syllabus PHYUT502 ELECTRONICS 1.Study of Operational Amplifiers : 1.1 Concept of input/output impedance, Input bias current, offset input voltage, slew rate, CMMR, Gain, frequency response, Band Width in different types of OP-AMPs such as BJT, JFET, MOS FET. 1.2 Applications of Operational Amplifiers : a) Active filters : LPF, HPF, BPF, and Notch filter 1 st and 2 nd order with designing ( Concept of Roll off, octave, Decade) b) Instrumentation Amplifier c) Function Generator – Square wave, triangular, sawtooth , sine wave.

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1. M.Sc. Physics Syllabus-1 - Revised Syllabus PHYUT501...

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