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Special theory of relativity exercise

 

  1. What do you understand by inertial and non inertial frames of references? Give examples.

 

  1. What do you understand by concept of frame of reference ?

 

  1. Explain, Earth is not an inertial frame.

 

  1. What are Galilean transformation equations? Derive them.

 

  1. State the conclusion of Michelson-Morley experiment.

 

  1. Draw neat and clean diagram of Michelson-Morley experiment set up and discuss its working.

 

  1. what are the postulate of special theory of relativity?

 

  1. What are Lorentz’s transformation? Derive them.

 

  1. Derive an expression for variation of mass with velocity.

 

  1. What do you understand by famous universal relation of mass energy equivalence?

 

  1. Write short notes

(i) Relativistics addition of velocities

(ii) Mass energy equivalence

(iii) Time dilation

(iv) Length contraction.

  1. A body of mass m is moving with velocity v. Find  m  where m0 is rest mass of (1 –v2) body and c is speed of light. c2 ·

 

  1. What is proper length? Explain how Lorentz’s transformation account for the phenomenon of length contraction.

 

  1. Describe the Michelson-Morley experiment and explain the physical significance of negative result.

 

  1. Deduce an expression for the variation of mass with velocity and depict it graphically. Also prove that no material particle can have a velocity equal or greater than the velocity of light.