Question

In: Physics

Observer A sees a flash of blue light at position x1 = 10.4m and at time...

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?

Expert Solution

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

genius_generous answered 3 years ago

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