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Bohr's Postulates

At what speed...

Question

At what speed should a source of sound move so that stationary observer finds the apparent frequency equal to half of the original frequency?

A

\frac{v}{2}

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B

2 v

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C

\frac{v}{4}

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D

v

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Solution

The correct option is D $v$
Here, frequency $n^{'} = \frac{n}{2}$
We have, $\frac{n}{2} = n (\frac{v}{v + v_{s}})$
or $\frac{v + v_{s}}{v} = 2$
or $v_{s} = v$

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