For a wavelength 670 nm of light coming from a galaxy moving with velocity 'V ', the observed wavelength is 670.7 nm. The value of ' V ' is

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$4.48 \times 10^{5} {ms}^{- 1}$

$3 \times 10^{8} {ms}^{- 1}$

$3 \times 10^{10} {ms}^{- 1}$

$3.13 \times 10^{5} {ms}^{- 1}$

answer is C.

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Detailed Solution

$A c c o r d i n g t o D o p p l e r e f f e c t o f l i g h t \frac{∆ λ}{λ} = \frac{v}{c} v = \frac{∆ λ}{λ} c = \frac{0.7}{670} \times 3 \times 10^{8} = 3.13 \times 10^{5} m / s$

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