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A sound wave,propagating through air is reflected from a surface which is moving away from the source with a constant speed v. What will be the frequency of the reflected wave, measured by the observer at the position of the source ? [ frequency of the sound wave = f ; velocity of sound wave in air=c]

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$\frac{f (c - v)}{c + v}$

$\frac{f (c + v)}{c - v}$

$\frac{f (c + 2 v)}{c + v}$

$\frac{f (c - v)}{c - 2 v}$

answer is A.

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Detailed Solution

In first case observer (surface) is moving away. perceiver frequency

$f^{'} = f (\frac{c - v}{c})$

In second case source (surface) is moving away. Perceived frequency

$f^{''} = f^{'} (\frac{c}{c + v}) = f (\frac{c - v}{c + v})$

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