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In hydrogen spectrum the wavelength of $H_{α}$ line is 656 nm whereas in the spectrum of a distant galaxy, $H_{α}$ line wavelength is 706 nm. Estimated speed of the galaxy with respect to earth is

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$2 \times 10^{8} m / s$

$2 \times 10^{7} m / s$

$2 \times 10^{6} m / s$

$2 \times 10^{5} m / s$

answer is B.

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Detailed Solution

$v = \frac{c Δ λ}{λ} = \frac{3 \times 10^{8} (706 - 656)}{656} = 2.3 \times 10^{7} m / s$

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