A source is moving towards a stationary observer, so that the apparent frequency increases by 50%. If velocity of sound is 330 m/s, then velocity of source is

Options

A. 180 m/s
B. 220 m/s
C. 110 m/s
D. 150 m/s

Answer

C

Explanation

`n' = n_(0) ((v)/(v - v_(s)))`...(i)
`n' = n_(0) + (50)/(100) n_(0)`
`n' = (3)/(2) n_(0)`
Substituting this value of n' in(i),
`(3)/(2) n_(0) = n_(0) ((v)/(v - v_(s)))`
`3v - 3v_(s) = 2v `
`:. v_(s) = (v)/(3) = (330)/(3) m//s = 110 m//s`