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Question

# Starting from rest, an observer moves with a constant acceleration a towards a stationary source emitting a sound of frequency v0. Which of the graphs shown in Fig. correctly represents the variation of the apparent frequency v of sound as heard by the observer with time t?

A

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B

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C

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D

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Solution

## The correct option is D Speed of observer at time t is u0=0+at=at Apparent frequency v=v0(c+u0c) =v0(c+atc) =v0+av0ct This is the equation of a straight line with a positive slope m=av0v and a positive intercept c=v0. Hence the correct choice is (d).

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