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Old August 22nd, 2017, 12:29 PM
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Join Date: May 2011
Default Re: ISM Dhanbad MSC Chemistry Entrance Syllabus

As you want to apply in Indian Institute of Technology (Indian School of Mines), Dhanbad for that I will provide you Joint Admission Test for M.Sc (JAM) entrance exam syllabus, so that it would be easy for you to prepare.

Here is the syllabus
Physics Syllabus
Mathematical Methods: Calculus of single and multiple variables, partial derivatives, Jacobian, imperfect and perfect differentials, Taylor expansion, Fourier series. Vector algebra, Vector Calculus, Multiple integrals, Divergence theorem, Green’s theorem, Stokes’ theorem. First order equations and linear second order differential equations with constant coefficients. Matrices and determinants, Algebra of complex numbers.

Mechanics and General Properties of Matter:
Newton’s laws of motion and applications, Velocity and acceleration in Cartesian, polar and cylindrical coordinate systems, uniformly rotating frame, centrifugal and Coriolis forces, Motion under a central force, Kepler’s laws, Gravitational Law and field, Conservative and non-conservative forces.

System of particles, Center of mass, equation of motion of the CM, conservation of linear and angular momentum, conservation of energy, variable mass systems.

Elastic and inelastic collisions. Rigid body motion, fixed axis rotations, rotation and translation, moments of Inertia and products of Inertia, parallel and perpendicular axes theorem. Principal moments and axes. Kinematics of moving fluids, equation of continuity, Euler’s equation, Bernoulli’s theorem.

Oscillations, Waves and Optics:
Differential equation for simple harmonic oscillator and its general solution. Superposition of two or more simple harmonic oscillators. Lissajous figures. Damped and forced oscillators, resonance.

Wave equation, traveling and standing waves in one-dimension. Energy density and energy transmission in waves.

Group velocity and phase velocity. Sound waves in media. Doppler Effect. Fermat’s Principle. General theory of image formation.

Thick lens, thin lens and lens combinations. Interference of light, optical path retardation. Fraunhofer diffraction. Rayleigh criterion and resolving power. Diffraction gratings. Polarization: linear, circular and elliptic polarization. Double refraction and optical rotation.

Electricity and Magnetism:
Coulomb’s law, Gauss’s law. Electric field and potential. Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Biot-Savart law, Ampere’s law, Faraday’s law of electromagnetic induction, Self and mutual inductance.

Alternating currents. Simple DC and AC circuits with R, L and C components. Displacement current, Maxwell’s equations and plane electromagnetic waves, Poynting’s theorem, reflection and refraction at a dielectric interface, transmission and reflection coefficients (normal incidence only).

Lorentz Force and motion of charged particles in electric and magnetic fields.




For full information please check the file

Address:-
Indian Institute of Technology (Indian School of Mines), Dhanbad
Police Line, Sardar Patel Nagar, Hirapur, Dhanbad, Jharkhand 826004

Phone:-
0326 223 5004
Attached Files Available for Download
File Type: doc Joint Admission Test for M.Sc (JAM) entrance exam syllabus.doc (72.5 KB, 7 views)
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