Three observers A , B and C measure the speed of light coming from a source to be v_A , v_B and v_C . The observer A moves towards the source and C moves away from the source at the same speed. The observer B stays stationary. Suppose the surrounding space is water everywhere. Select the correct option(s).

Step-by-step solution

In a vacuum, the speed of light c is invariant for all inertial observers. However, in a refractive medium like water, the speed of light is v = c n Let the speed of light in water for the stationary observer B be v_B = v . For observer A moving towards the source with speed u , the relative speed of light is given by the relativistic velocity addition formula: v_A = v + u 1 + uv c^2 Since v 0 , we have v_A > v . For observer C moving away from the source with speed u , the relative speed of light is: v_C = v - u 1