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Question

Three observers A,B and C measure the speed of light coming from a source to be vA,vB and vC. The observer A moves towards the source and C moves away from the source at the same speed. The observer B stays stationary. The surrounding space is vacuum everywhere.

A
vA>vB>vC
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B
vA<vB<vC
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C
vA=vB=vC
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D
vA=vB>vC
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Solution

The correct options are
C vA=vB=vC
D vA=vB>vC
Relativity states that the speed of light in vacuum will be same independent of the frame of reference. The frame of reference can be stationary or moving.
So all three will find the speed of light to be c
Also c=12(c+c)
So, (C) and (D) are correct.

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