Question

A certain spectral line in the spectrum of a double star ordinarily has a frequency of...

A certain spectral line in the spectrum of a double star ordinarily has a frequency of 0.5 x 10^15 Hz. If the star is approaching the earth at 200km/sec, by what fraction (delta f/f) will the frequency be changed?
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Answer #1

The observed frequency of the spectral line is given by

Here,

Where c is the speed of light and v is the speed of the star (Positive sign if the star is approaching the observer, negative if it is going away). v is given as

Then,

Substituting the value of , we get

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