Question

(1) Observer S (at x 0) sees a flash of red light at XR 1200 m from her position and a flash of blue light at x,-480 m on the same straight line. She measures the time interval between the flashes to be 5 us, with the blue flash occurring first (that is, ted ue 5 Hs.) What is the velocity v of observer S who records the flashes as occurring at the same place, that is, who measures Ax 0? Give your result as a multiple of the (a) speed of light. (3 points) (b) What time interval At between the flashes would S measure, in microseconds? (2 points)
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Answer #1

Jn Given e. 120 0m -t 1200 -480 and also, △t - ta-te= SAS Now: Considering an iner direction eith Speed fare S For an obsever [n sL space and hne Coordinades are given b Lorentz bansfo and At - CCS S sthce cant be e ual t zeo to zero △x = 7 2 0 2. e C2

I have simply used lorentz transformation equations.

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