Q.

A source of sound of frequency n and a listener approach each other with a velocity equal to 1/20 of velocity of sound. What must have been the apparent frequency heard by the listener?

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a

2119n

b

2021n

c

2120n

d

1920n

answer is A.

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Detailed Solution

According to Doppler effect we have,n′=v+v0v−vsnv is speed of sound,vs is speed of source,vo is speed of observer,n is natural frequency of source and n' is observed frequency.as given, vs=vo=v20⇒n′=v+v20v−v20n⇒n′=2120v1920v=2119nThe apparent frequency heard by the listener is 2119n.
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A source of sound of frequency n and a listener approach each other with a velocity equal to 1/20 of velocity of sound. What must have been the apparent frequency heard by the listener?