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A person going away from a gate keeper on a scooter at a speed of 10 m/s blows a horn of frequency 600 Hz. If speed of sound is 340 m/s find the apparent frequency heard by the gatekeeper.

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617 Hz

583 Hz

600 Hz

550 Hz

answer is B.

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Detailed Solution

Here source is moving away from the observer so apparent frequency $n^{'} = (\frac{v}{v + v_{s}}) n$
We have vs = 10 m/s n = 600 Hz , v = 340 m/s
$n^{'} = \frac{340}{340 + 10} \times 600 = 583 Hz$

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