Optics Question 253

Question: Light coming from a star is observed to have a wavelength of 3737 Å, while its real wavelength is 3700 Å. The speed of the star relative to the earth is

[Speed of light $ 3\times 10^{8}m/s $ ] [MP PET 1997]

Options:

A) $ 3\times 10^{5}m/s $

B) $ 3\times 10^{6}m/s $

C) $ 3.7\times 10^{7}m/s $

D) $ 3.7\times 10^{6}m/s $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \Delta \lambda =\lambda \frac{v}{c} $

$ \Rightarrow (3737-3700)=3700\times \frac{v}{3\times 10^{8}}\Rightarrow v=3\times 10^{6}m/s $



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