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                                    A traffic policeman sounds a whistle to stop a car-driver approaching towards him. The car driver does not stop and takes the plea in court that because of the Doppler shift the frequency of the whistle reaching him might have gone beyond the audible limit of 20 kHz and he did not hear it. Experiments showed that the whistle emits a sound with a frequency close to 16 kHz. Assuming that the claim of the driver is true, how fast was he driving the car? Take the speed of sound in air to be 330 m/s. Is this speed practical with today's technology? | 
                            
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Answer»  The frequency of sound, ν = 16 kHz. V = 330 m/s. The apparent frequency (minimum for beyond the hearing range) ν' = 20 kHz. The speed of observer =? ν' = (V+u)ν/V →20 = (330+u)*16/330 →330+u = 20*330/16 =412.5 →u = 82.5 m/s = 82.5*3600/1000 km/h →u = 297 km/h Hence if the claim of the driver is assumed to be true, then he must be driving the car more than 297 km/h ≈300 km/h In today's technology, general make of cars and road conditions, it is not practical.  | 
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