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ch. 24 Q 7 .) Intelligent beings in a distant galaxy send a signal to earth...

ch. 24 Q 7 .) Intelligent beings in a distant galaxy send a signal to earth in the form of an electromagnetic wave. The frequency of the signal observed on earth is 2.8% greater than the frequency emitted by the source in the distant galaxy. What is the speed Vrel of the galaxy relative to the earth?

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Answer #1

Using relativistic Doppler effect we have

fs is the frequency of the source, fr is the frequency as received. v is the velocity of the galaxy relative to earth and c is the velocity of light

Frequency of signal as observed on earth is 2.8% greater than that emitted by source i.e.,

Squaring both sides,

This is the velocity of the galaxy.

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