Question

Who will perceive a longer elapsed time for an event, a stationary observer watching the event or an observer moving with the event?

A) the moving observer

B) the stationary observer

C) both experience the same time

Answer 1

the relation between relativistic time (t) and proper time (to) is given by :

where v is the velocity of moving object ( spaceship, rocket etc.)

since v is always less than c , that is the velocity of moving object is always smaller than the speed of light , hence t is always greater than to

now, we know that to is the proper time , which is the time measured by the observer moving with the event.

Therefore, longer time will be precieved by STATIONARY OBSERVER (t)

Please ask your doubts or queries in the comment section below.

Please kindly upvote if you are satisfied with the solution.

Thank you.