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A person is riding a motorcycle at a spe...

A person is riding a motorcycle at a speed v towards a stationary car operating its siren at 165Hz. A police car is chasing the person at a speed 22 m/s with its siren operating at 176 Hz. If the motorcyclist does not heard beats, the speed v (m/s) is (speed of sound in air = 330 m/s)

A

33

B

22

C

11

D

zero

Text Solution

AI Generated Solution

To solve the problem, we need to determine the speed \( v \) of the motorcyclist such that he does not hear beats between the frequencies of the sirens from the stationary car and the police car. We will use the Doppler effect formula for sound. ### Step-by-Step Solution: 1. **Identify Given Values:** - Frequency of stationary car's siren, \( f_0 = 165 \, \text{Hz} \) - Frequency of police car's siren, \( f = 176 \, \text{Hz} \) - Speed of sound in air, \( c = 330 \, \text{m/s} \) ...
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