wave_mechanics dopplers_effect Question 7

Question: An observer moves towards a stationary source of sound of frequency n. The apparent frequency heard by him is 2n. If the velocity of sound in air is 332 m/sec, then the velocity of the observer is

[MP PET 1990]

Options:

A) 166 m/sec

B) 664 m/sec

C) 332 m/sec

D) 1328 m/sec

Show Answer

Answer:

Correct Answer: C

Solution:

$ n’=n( \frac{v+v _{O}}{v} )\Rightarrow 2n=n( \frac{v+v _{0}}{v} )\Rightarrow \frac{v+v _{0}}{v}=2 $

$ \Rightarrow $ $ v _{O}=v=332 $ m/sec