JEE Main Solved Paper 2017 Question 27

Question: An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer? (speed of light $ =3\times 10^{8},m{s^{-1}} $ ) JEE Main Solved Paper-2017

Options:

A) 17.3 GHz

B) 15.3 GHz

C) 10.1 GHz

D) 12.1 GHz

Show Answer

Answer:

Correct Answer: A

Solution:

  • Doppler effect in light (speed of observer is not very small compare to speed of light) $ f^{1}=\sqrt{\frac{1+V/C}{1-V/C}}f _{source}=\sqrt{\frac{1+1/2}{1-1/2}}(10,GHz) $ $ =17.3,GHz $