Q139 / 180 · COMEDK 2023 (Memory Based) · Physics

With what velocity should an observer approach a stationary sound source, so that the apparent frequency of sound should appear double the actual frequency?

A
$v / 2$
B
$3 v$
C
$2 v$
Correct answer
D
$v$

Solution

By using $v^{\prime}=v\left[\frac{v-v_0}{v-v_s}\right]$ $\begin{array}{ll} \Rightarrow & 2 v=v\left[\frac{v-v_0}{v-0}\right] \\ \Rightarrow & v_0=-v \end{array}$ Negative sign indicates that observer is moving opposite to the direction of velocity of sound.

Hence, the correct answer is option: 'D'.

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