How Does Relativity Affect Light Travel in Different Inertial Frames?

[the_liong]

Hi all, pls help me solve the problem below,easy for you right? I very appreciate your help, thank.

Question:
A flash of light is sent out from a point x1 on the x-axis of an inertial frame S, and it is received at a point x2 = x1 + g. Consider another inertial frame, S´, moving with constant speed V = bc(c=light speed) along the x-axis; show that, in S´:
i) the separation between the point of emission and the point of reception of the light is g´ = g{(1 – b)/(1 + b)}^1/2
ii) the time interval between the emission and reception of the light is t´ = (g/c){(1 – b)/(1 + b)}^1/2.

 

[Doc Al]

Well, what have you done so far? Where are you stuck?

To get help, you need to show your work.

Hint: Apply the Lorentz Transformations. They can be found here:
https://www.physicsforums.com/showpost.php?p=905669&postcount=3"