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Question

Physics Question on Wave optics

A star is moving away from the Earth with speed VV. Change in wavelength (dλ)(d\lambda) observed on Earth is

A

λVC \frac{\lambda V}{C}

B

λV(C+V) \frac{\lambda V}{(C + V)}

C

λC(C+V) \frac{\lambda C}{(C + V)}

D

λCV \frac{\lambda C}{V}

Answer

λVC \frac{\lambda V}{C}

Explanation

Solution

Doppler shift in wavelength of the light source is given by
Δλ=VλC\Delta \lambda = \frac{V \lambda }{C}
For motion away from earth dλd \lambda is positive .