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

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$\frac{2}{3} v$

$\frac{v}{2}$

$\frac{3}{2} v$

$3 v$

answer is B.

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Detailed Solution

$n' = n (\frac{v}{v - v_{S}}) \Rightarrow \frac{n'}{n} = \frac{v}{v - v_{S}}$

$\Rightarrow \frac{v}{v - v_{S}} = 3 \Rightarrow v_{s} = \frac{2 v}{3}$

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