Question

i have a doubt ....we know speed of particle is constant in vacuum...now let two mirrors placed parallel to each other in a cylinder and a beam of light is made incident on one mirror and it will continue to bounce to other mirror and then back to first mirror and this will continue for always fot ideal conditions....now let that this cylinder is kept static in vacuum and let the height of cylonder be d so to calculate speed of light we will use d/time(t) in which light beam will strike to another mirror....but now if we take that jar in space in a rocket with high speed....now it will travel more distance in same time t with respect to stars so now...speed of light should also increase but its constant so time should increase to make that speed constant (remember on incrrasing speed of rocket distance travelled by light beam would also increase) but acc. to theory of relativity this time decreases.......please help me........​

Answer 1

Answer:

Let the mirrors be separated by L on the ship.

Let t be the time for light to traverse the distance L (on the ship).

c = L / t

Let the ship be moving at .8 c with respect to a ground observer.

Then (1 - v^2 / c^2) = .6

L' = .6 L    as measured by the ground observer.

t' = t / .6     the time as measured by the ground observer.

c = L' / t'

This assumes time and distance measured by the ground observer(s)

that are coordinated and synchronized to accurately make these measurements.

L and t are proper length and proper time as measured by an observer on the ship.

Answer 2

Answer:

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