A police car travels towards a stationary
observer at a speed of 15 m/s. The siren
on the car emits a sound of frequency 250
Hz. Calculate the recorded frequency.
The speed of sound is 340 m/s.
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Answered by
11
The recorded frequency = 261.53Hz
Let f' be the recorded frequency
f = frequency of sound emitted by the siren on the police car = 250Hz
v' = speed of police car = 15 m/s
v = speed of sound in the air = 340 m/s
Using Doppler's effect to find the frequency recorded by the listener -
recorded frequency = frequency × (velocity of listener / velocity of source)
f' = f ( v/(v-v'))
=> f' = 250×(340/325)
=> f' = 262.53 Hz
The recorded frequency = 261.53Hz
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