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Q.

The frequency of a car horn encountered a change from 400Hz to 500Hz. When the car approaches a vertical wall. If the speed of sound is 330m/s. Then the speed of car is……km/h

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answer is 132.

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Detailed Solution

From the Doppler’s effect of sound
Frequency received by wall $f^{'} = (\frac{v_{s}}{v_{s} - v}) f_{0}$
Reflected frequency received by man is $f^{''} = (\frac{V_{S} + V}{V_{S}}) f^{'}$
$\begin{array}{l} \Rightarrow f^{''} = (\frac{v_{S} + v}{v_{S}}) (\frac{v_{S}}{v_{S} - v}) f_{0} \\ \Rightarrow v = \frac{330}{9} \times \frac{18}{5} = 132 km / hr \end{array}$

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