A musician on a moving vehicle plays a tone at 880 Hz note. When the vehicle was approaching a listener, he receives it as 888 Hz tone.
The speed of the vehicle is (Assume the velocity of sound is 333 m/s. )

Options

A. 6 m/s
B. 5 m/s
C. 3 m/s
D. 1 m/s

Answer

C

Explanation

Given `n_0 = 880 Hz` (Frequency of sound produced by musician ) , n=888 Hz (frequency of sound observed by observer and speed of sound , v =333 m/s ). We know that, when sound source is in motion and observer is stationary, frequency heard,
`n= (n_0 v)/(v-v_s) rArr =v [ 1-(n_0)/n]`
`rArr v_s = 333 [1-(880)/(888) ]= 3 m//s`