wave_mechanics dopplers_effect Question 52

Question: What should be the velocity of a sound source moving towards a stationary observer so that apparent frequency is double the actual frequency (Velocity of sound is v)

[MP PMT 2002]

Options:

A) v

B) 2v

C) $ \frac{v}{2} $

D) $ \frac{v}{4} $

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Answer:

Correct Answer: C

Solution:

By using $ n’=( \frac{v}{v-v _{S}} )\Rightarrow 2n=n( \frac{v}{v-v _{S}} )\Rightarrow v _{S}=\frac{v}{2} $