First slide

Doppler's effect

Question

The wavelength of light coming from a distant galaxy is found to be 0.5% more than that coming from a source on earth, then the velocity of galaxy is _____ $\times 10^{7} m / \sec$

Moderate

Solution

$A s p e r d o p p l e r e f f e c t o f l i g h t \frac{Δ λ}{λ} = \frac{V}{C} G i v e n : \frac{Δ λ}{λ} = \frac{0.5}{100} = 5 \times 10^{- 3} ∴ V = \frac{Δ λ}{λ} \times C = 5 \times 10^{- 3} \times 3 \times 10^{8} \Rightarrow V = 15 \times 10^{5} m / \sec \Rightarrow V = \frac{15}{100} \times 100 \times 10^{5} = 15 \times 10^{- 2} \times 10^{7} \Rightarrow V = 0.15 \times 10^{7} m / \sec$

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