While emitting light of proper frequency f_0, a source moves to the right with s

Question

While emitting light of proper frequency f_0, a source moves to the right with speed c/4 relative to reference frame S. A detector, to the left of the source, measures the frequency to be f, which is greater than f_0. This means: a) the detector is moving to the right with a speed that is less than c/4 relative to s b) the detector is moving to the left with a speed that is less than c/4 relative to s c) the detector is not moving d) the detector is moving to the left with a speed that is greater than c/4 relative to S e) the detector is moving to the right with a speed that is greater than c/4 relative to S

Explanation / Answer

from Doppler effect

observed frequency f =fo (c + vo)/(c+vs)

c = velocity of light in vacuum , vo = velocity of detector

vs =velocity of emmitor

f >f o

correct option is (e)

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