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A police car moving at 22 m/s chases a motor-cyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle. It is given that the motorcyclist does not observe any beats (Velocity of sound = 330 m/s)

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33 m/s

22 m/s

zero

11 m/s

answer is B.

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Detailed Solution

n₁ = Apparent frequency heard by the motor cyclist from police van. = Question Image

n₂ = Apparent frequency heard by the motor cyclist from given = $\large 165\left( {1 + \frac{{{v_o}}}{{330}}} \right)$

when beat frequency is zero, n₁ = n₂

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