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Question

The observer is moving with velocity ′v′0 towards the stationary source of sound and then after crossing moves away from the source with velocity ′v′0. Assume that the medium through which the sound waves travel is at rest. If ′v′ is the velocity of sound and ′n′ is thee frequency emitted by the source then the difference between apparent frequencies heard by the observer is

A
2nv0v
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B
nv0v
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C
v2nv0
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D
vnv0
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Solution

The correct option is A 2nv0v
Using doppler effect formula
Case I : Observes approaching the source.
V1=(V+VoV)n .... (I)
Case II : Observes moving away from the source
V1=(VVoV)n .... (II)
Different between 2 frequencies
(I)(II)=2VonV

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