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The wavelength of light received from a galaxy is 10% greater than that received from identical source on the earth. The velocity of the galaxy relative to the earth is

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3 × 10⁸ ms^–1

3 × 10⁷ ms^–1

3 × 10⁶ms^–1

3 × 10⁵ms^–1

answer is B.

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Detailed Solution

$Δ λ / λ = V / c \begin{aligned} 0.1 = v / 3 \times 10^{\land} 8 \\ v = 3 \times 10^{\land} 8 \times 0.1 \\ v = 3 \times 10^{\land} 7 m / s \end{aligned}$

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