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 observes any beats
Text Solution
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$n_1$ = Frequency of the police car horn observer heard by motorcyclist
n₂ = Frequency of the siren heard by motorcyclist.
v 2 = Speed of motor cyclist
$n_1 = \frac{330 - v}{330 - 22} \times 176; \quad n_2 = \frac{330 + v}{330} \times 165$
: $n_1 - n_2 = 0 \Rightarrow v = 22 \mathrm{m/s}$ .
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