Optics Question 252

Question: A light source approaches the observer with velocity 0.8 c. The doppler shift for the light of wavelength $ 5500{AA} $ is

[MP PET 1996]

Options:

A) $ 4400{AA} $

B) $ 1833{AA} $

C) $ 3167{AA} $

D) $ 7333{AA} $

Show Answer

Answer:

Correct Answer: C

Solution:

According to Doppler’s principle $ \lambda ‘=\lambda \sqrt{\frac{1-v/c}{1+v/c}} $

for v = c $ \lambda ‘=5500\sqrt{\frac{(1-0.8)}{1+0.8}}=1833.3 $

$ \therefore $ Shift $ =55001833.3=3167\AA$



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