MATHEMATICAL PHYSICS, MECHANICS & GENERAL PROPERTIES OF MATTER Total Marks:35 Pass marks:12 Group A : Mathematic...
MATHEMATICAL PHYSICS, MECHANICS & GENERAL PROPERTIES OF MATTER
Total Marks:35 Pass marks:12
Group A : Mathematical Physics
Vectors :The dot and cross product of vectors, the triple vector products, the triple scalar products, elementary idea of Gradient, Divergence and curls.
Matrices: Addition law of matrices, matrices multiplication, properties of matrices, special square matrices, inverse of matrices
Group B : Mechanics , General Properties of Matter & Relativity
Moment of Inertia: Theorems of moment of inertia, calculation of moment of inertia in simple cases: thin uniform rod, spherical shell, solid sphere, cylinder, uniform rectangular lamina.
Simple harmonic motion, Equation of S.H.M, Composition of simple harmonic motion, Lissajous figures, resolution of S.H.M. into two equal and opposite circular motion. Compound pendulum, measurement of ’g’ by bar and Kater’s pendulum.
Elasticity: Relation between elastic constants, energy of elastically deformed bodies, torsion of a rod, torsional pendulum, bending of beam, cantilever.
Surface tension: Excess pressure on curved liquid surface (spherical bubble and drop).
Viscosity of fluids: Poiseu1le’s equation, determination of viscosity of a liquid by Poiseu1le’s method.
Relativity : Galilean transformation, invariance of the laws of motion under Galilean transformation, Michelson- Morley experiment, postulates of special theory of relativity, Finite speed of a signal, Lorentz transformation equations, Relativity of Simultaneity, Length contraction, time dilation, with cosmic ray µ meson, twin- paradox. Variation of mass with velocity, Mass Energy relation
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