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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)

A
$$v$$
B
$$\dfrac{v} {2}$$
C
$$\dfrac{v} {4}$$
D
$$2v$$
Solution
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Correct option is C. $$\dfrac{v} {2}$$
By using $$ n' = \left ( \dfrac{v } {v - v_s} \right )$$
$$ \Rightarrow 2n = n = \left ( \dfrac{v } {v - v_s} \right ) $$
$$\Rightarrow v_s = \dfrac{v} {2}$$

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