The apparent wave length of a star moving away from the Earth is observed to be 0.01% more than its real wave length. The velocity of star is
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Wavelength of light coming from the earth = λ
Wavelength of light coming from the distant star, λ' = λ + λ (0.01 /100)
So, ∆ λ = λ' − λ
= λ 0.01/100
Now using,
= ∆λ/λ = v/c
or (10^-4λ)/λ = v/c
or 10^-4 x 3×10^8 = v
so v = 3 x 10^4 m/s, This is the velocity of the star.
i hope it will help you
regards
Wavelength of light coming from the distant star, λ' = λ + λ (0.01 /100)
So, ∆ λ = λ' − λ
= λ 0.01/100
Now using,
= ∆λ/λ = v/c
or (10^-4λ)/λ = v/c
or 10^-4 x 3×10^8 = v
so v = 3 x 10^4 m/s, This is the velocity of the star.
i hope it will help you
regards
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