A police car moving at 22 m/s, chases a motorcyclist. 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, if it is given that he does not observe any beats.
22 m/s
n1 = Frequency of the police car horn heard by motorcyclist
n2 = Frequency of the siren heard by motorcyclist.
v = Speed of motor cyclist
n1 = 330−v330−22 × 176; n2 = 330+v330×165
∵ n1 - n2 = 0 ⇒ v = 22 ms−1.