The difference between the apparent frequency of a source of sound as perceived by an observer during its approach and recession is 2% of the natural frequency of the source. Then the speed of the source will be

Options

A. 1.5 m/s
B. 6.0 m/s
C. 3 m/s
D. 12.0 m/s

Answer

C

Explanation

`n' = n [(v)/(v - v_(s))] and n'' = [(v)/(v + v_(s))]`
`(n')/(n'') = (1 + (v_(s))/(v))/(1 - (v_(s))/(v)) = (1 + (v_(s))/(v)) (1 - (v_(s))/(v)) (1- (v_(s))/(v))^(-1) = (2v_(s))/(v)`