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Question: A source of sound is travelling towards a stationary observer. The frequency of sound heard by the o...

A source of sound is travelling towards a stationary observer. The frequency of sound heard by the observer is of three times the original frequency. The velocity of sound is v m/sec. The speed of source will be

A

23v\frac{2}{3}v

B

v

C

32v\frac{3}{2}v

D

3v

Answer

23v\frac{2}{3}v

Explanation

Solution

n=n(vvvS)n^{'} = n\left( \frac{v}{v - v_{S}} \right)nn=vvvSvvvS=3vs=2v3\frac{n'}{n} = \frac{v}{v - v_{S}} \Rightarrow \frac{v}{v - v_{S}} = 3 \Rightarrow v_{s} = \frac{2v}{3}