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Question -

The 6563 Å  line emitted by hydrogen ina star is found to be red shifted by 15 Å. Estimate the speed with which thestar is receding from the Earth.



Answer -

Wavelength of line emitted by hydrogen,

λ = 6563 Å

= 6563 ×10−10 m.

Star’sred-shift, 

Speed of light, 

Let thevelocity of the star receding away from the Earth be v.

The redshift is related with velocity as:

Therefore, the speed with whichthe star is receding away from the Earth is 6.87 × 105 m/s.

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