A rocket is traveling at 13 c relative to earth when a lightbulb in the center o

Question

A rocket is traveling at 13c relative to earth when a lightbulb in the center of a cubical room is suddenly turned on. An astronaut at rest in the rocket and a person at rest on earth both observe the light hit the opposite walls of the room. (See the figure.) (Figure 1) We shall call these events Aand B.

Which statements about the two events are true? (There may be more than one true statement.)
A. To the observer on earth, both events happen at the same time.
B. To the astronaut, both events happen at the same time.
C. To the observer on earth, event B happens before event A.
D. To the astronaut, event A happens after event B.

Explanation / Answer

To the observer in the rocket,light will travell with equal speeds in both the directions..but for the observer on earth, at side B the relative velocity sums up to (c + c/3) and at side A it sums up to be (c- c/3)

hence side b will get illuminated faster for him

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