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
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a
v/2
b
v/2
c
v/3
d
v/4
answer is C.
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Detailed Solution
Frequency of reflected sound heard by driver n'=n v+v0v−vSIt is given that n'=2nHence, 2n=nv+vcarv−vcar⇒vcar=v/3.