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Q.

A source and a detector move away from each other with a speed of $20 m / s$ with respect to the ground. If the detector detects a frequency of $180 H z$ of the sound coming from the source, then the original frequency of source considering speed of sound in air $340 m / s$ will be $_________H z$

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a

152

b

205

c

202.5

d

252

answer is C.

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Detailed Solution

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The apparent frequency observed by detector in the situation described in question is expressed as

$\begin{array}{l} f' = f (\frac{v - v_{0}}{v + v_{s}}) \\ \Rightarrow 180 = f [\frac{340 - 20}{324 + 20}] \\ \Rightarrow f = \frac{180 \times 360}{320} \\ \Rightarrow f = 202.5 H z \end{array}$

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