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A police in a siren car moving witha velocity 20 ms1 chases a thief whois moving in a car with a velocityvm. The police car sounds atfrequency 300Hz, and both of themmove towards a stationary sirenof frequency 400Hz. Calculate thespeed in which thief is moving.= 10 ms.!or.1,

Answer»

◆ Solution-Frequency of police car horn heard by motorcyclist is -f1 = 400(330-v)/(330-20)f1 = 40(330-v)/31

Frequency of the siren heard by motorcyclist is -f2 = 300(330+v)/330f2 = 30(330+v)/33

As no beats are observed,f1 = f240(330-v)/31 = 30(330+v)/33435600 - 1320v = 306900 + 930v128700 = 390vv = 330 m/s

Therefore, velocity of the thief is 330 m/s.

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