A source of sound emitting a note of frequency $n_{0}$ is approaching a stationary listener. If the frequency of the note heard by the listener $3 n_{0}$ , the velocity of the source $(V_{s})$ is equal to
[ V = Velocity of sound in air]

Question

TestHub · Accepted Answer

Using the Doppler effect formula for a source approaching a stationary listener:

$n^{'} = n_{0} (\frac{V}{V - V _{s}})$

Substituting the given values, $n^{'} = 3 n_{0}$ :

$3 n_{0} = n_{0} (\frac{V}{V - V _{s}})$

$3 = \frac{V}{V - V _{s}}$

$3 V - 3 V_{s} = V$

$2 V = 3 V_{s}$

$V_{s} = \frac{2 V}{3}$

Answer: $\frac{2 V}{3}$

Physics - Sound Wave Question with Solution | TestHub

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