In: Physics
Observer A sees a flash of blue light at position x1 = 10.4m and at time t1 = 0.124µs, and a flash of yellow light at position x2 = 21.3m and at time t2 = 0.139µs. Observer B, who is in motion relative to Observer A, sees these flashes of light occur simultaneously. At what speed is Observer B traveling relative to Observer A?
This is the problem related to Special theory of relativity. Given For Observer A: Two events (seeing flash of blue and yellow light) are separated by the distance Difference in time in the occurrence of two events For Observer B: Two events occur simultaneously. |
Here let us consider that Observer B is moving with velocity with respect to Observer A. We have the differential form of Lorentz transformation as But c is speed of light. or |
The speed at which Observer B traveling relative to Observer A is or |