Optics Question 266

Question: Light from the constellation Virgo is observed to increase in wavelength by 0.4%. With respect to Earth the constellation is

[MP PET 2003]

Options:

A) Moving away with velocity 1.2 x 106 m/s

B) Coming closer with velocity 1.2 x 106 m/s

C) Moving away with velocity 4 x 106 m/s

D) Coming closer with velocity 4 x 106 m/s

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Answer:

Correct Answer: A

Solution:

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

$ \Rightarrow v=0.004\times 3\times 10^{8}=1.2\times 10^{6} $ m/sec



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