RELATIVISTIC MECHANICS (Optional Paper)

Relative Character of space and time, Principle of Relativity and its postulates, Derivation of special Lorentz transformation equations, Composition of Parallel velocities, Lorentz-Fitzgerald contraction formula,

Time dilation.,Simultaneity, Relativistic transformation formulae for velocity, Lorentz contraction factor, Particle acceleration, Velocity of light as fundamental velocity,
 

Relativistic aberration and its deduction to Newtonian theory. Variation of mass with velocity, Equivalence of mass and energy, Transformation formulae for mass, Momentum and energy, Problems on conservation of mass, Momentum and energy,
 

Problems on conservation of mass, Momentum and energy, Relativistic Lagrangian and Hamiltonian. Minkowski space, Space-like, Time-like and Light-like intervals,
 

Null cone, Relativity and Causality, Proper time, World line of a particle.Principles of Equivalence and General Covariance.