1. State the basic postulates of relativity and derive the L.T. 2. What do you understand by space contraction? Derive the formula for it. 3. What is time dilation? How does it arise from transformations of time and space coordinates recorded by two inertial observers in relative motion? 4. What do you understand by reciprocity between two inertial frames in relative motion as regards contraction of space and dilation of time? 5. Write down L.T. hence obtain the relativistic law of composition of velocities. 6. Write down the relativistic law of addition of velocities and explain what important conclusions follow therefrom. 7. Show that two successive L.T. corresponding to speeds v, and v, are equivalent to a single L.T. V + V2 corresponding to a speed of v = V V2 1+ c2 Hint: Consider three inertial frames S, S', S". Let S' move with speed v, relative to S and let S" move with speed v, relative to S'. Then x' = r, (x- vt) etc. and x" T2(x - vzt) etc. V V2 -(v + v2 )t c2 Show that X' = r,r2 V V2 V + v2 = r,r,1+ c2 V V2 1+ c2