A source producing sound of frequency 340 Hz is moving away from a stationary observer with a velocity of `34 ms^(-1)`. The apparent change in wavelength of sound heard by the observer is `(V = 340 ms^(-1))`

Options

A. 0.4 m
B. 0.25 m
C. 0.2 m
D. 0.1 m

Answer

D

Explanation

`n' = n [(v)/(v + v_(s))]`
`:. (n)/(n') = [(v + v_(s))/(v)]`
`(lamda')/(lamda) = (v + v_(s))/(v)`
`(lamda' - lamda)/(lamda) = (v + v_(s) - v)/(v) = (v_(s))/(v)`
`lamda' - lamda = v_(s) (lamda)/(v) = (v_(s))/(n) = (34)/(340)`
`= (1)/(10) = 0.1 m`