#1
 
 
After M.Sc, info about M.Phil Entrance Exam
I have completed M.Sc in Physics, now want to do M.Phil in Physics, so need detailed M.Phil Physics entrance exam syllabus, please provide here???

#2
 
 
Re: After M.Sc, info about M.Phil Entrance Exam
You are looking for M.Phil Physics entrance exam syllabus, I am giving here: APERI: MATHEMATICAL PHYSICS UnitI: Vector space and Matrices, Linear independence, Bases, dimensionality, Inner product, Linear transformation, matrices, Inverse, Orthogonal and Unitary matrices, Independent element of a matrix, Eigen values and eigen Vectors, Diagonalization, Complete orthonormal sets of functions. UnitII: Complex Variables: Cauchy Riemann condition, analytic functions,Cauchy’s theorem, Cauchy integral formula, Laurent series, singularities, residue theorem, contour integration, evaluation of definite integrals, problems. UnitIII: Differential equations, first order differential equation, second order differential equation with constant coefficients, second order linear ODEs with variable coefficients, Solution by series expansion, nonhomogenous differential equations and solution by the method of Green’s functions. UnitIV: Special functions, Legendre, Bessel, Hermite and Laguerre functions with their physical applications, generating functions, orthogonality conditions, recursion relations, UnitV: Integral transforms, Fourier integral and transforms, inversion theorem, Fourier transform of derivatives, convolution theorem, Laplace Transform(LT), LT of Derivatives, Inverse LT, Fourier series; properties and applications, discrete Fourier transform. UnitI Preliminaries, Newtonian mechanics of one and many particle systems, Conservation laws,Constraints & their classification, Principle of virtual work, Generalized coordinates, D’Alembert’s principle and Lagrange’s equations, Velocitydependent potentials and dissipation function, Simple applications of the Lagrangian formulation, Hamilton’s principle, Lagrange’s equations from Hamilton’s principle, Conservation theorems and Symmetry properties, Energy function and the conservation of energy. UnitII The Hamiltonian formulation of mechanics, Legendre transformations and the Hamilton’s equations of motion, Cyclic coordinates and Conservation Theorems, Hamilton’s equations from Hamilton’s principle, The principle of least action, Simple applications of the Hamiltonian formulation. UnitIII Canonical transformations with examples, The harmonic oscillator, Poisson’s brackets, Equations of motion and conservation theorems in the Poisson Bracket formulation. HamiltonJacobi (HJ) theory: The HJ equation for Hamilton’s principal function, Harmonic oscillator as an example of the HJ method, The HJ equation for Hamilton’s characteristic function, The actionangle variables Unit –IV The Central force: Twobody central force problem and its reduction to the equivalent onebody problem, The equations of motion and first integrals, The equivalent onedimensional problem and classification of orbits, The differential equation of the orbit, Closure and stability of orbits, The Kepler problem, Scattering in a central force field: Rutherford scattering. Unit – V Rigid body dynamics, The Euler angles, Euler’s theorem on the motion of a rigid body, Rate of change of a vector, The Coriolis force, Angular momentum and Kinetic energy of motion about a point, The Euler equations of motion of rigid bodies. Formulation of the problem of small oscillations, The eigenvalue equation and the principal axis transformation, Frequencies of free vibration and normal coordinates, Free vibration of linear triatomic molecule. 4 PaperIII: ELECTRODYNAMICS & PLASMA PHYSICS UnitI Maxwell’s equations, vector and scalar potentials and the wave equation, Gauge transformations, Lorenz gauge, Coulomb gauge, Green function for the wave equation, fourvectors, mathematical properties of the spacetime in special relativity, matrix representation of Lorentz transformation, covariance of electrodynamics, transformation of electromagnetic fields. UnitII Radiation by moving charges, LienardWiechert potential and fields for a point charge, total power radiated by an accelerated charge Larmor’s formula and its relativistic generalization, angular distribution of radiation emitted by an accelerated charge, radiation emitted by a charge in arbitrary extremely relativistic motion, distribution in frequency and angle of energy radiated by accelerated charge. Unit III Bremsstralung: emission from singlespeed electrons, thermal Bremsstralung emission and absorption, Synchrotron radiation: spectrum of synchrotron radiation, spectral index for power law electron distribution, transition from Cyclotron to Synchrotron emission, Cherenkov radiation UnitIV Plasma: definition, Debye shielding phenomenon and criteria for plasma, motion of charged particles in electromagnetic field; Uniform E & B fields, Electric field drift, Nonuniform magnetostatic field, Gradient B drift, Parallel acceleration and magnetic mirror effect, Curvature drift, adiabatic invariants. UnitV Elementary concepts of plasma kinetic theory, the Boltzmann equation, the basic plasma phenomena, plasma oscillations. Fundamental equations of magnetohydrodynamics (MHD), Hydrodynamics Waves; Magneto sonic and Alfven waves, Magnetic viscosity and magnetic pressure, plasma confinement schemes.
__________________ Answered By StudyChaCha Member 