A racing car moving towards a cliff, sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If `v` is the velocity of sound, then the velocity of the car is

Options

A. `(v)/(sqrt(2))`
B. `(v)/(2)`
C. `(v)/(3)`
D. `(v)/(4)`

Answer

C

Explanation

`f.=f((v+v_(o))/(v-v_(s)))`
`2f=f((v+v_(c))/(v-v_(c)))impliesv_(c)=(v)/(3)`.