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A source of sound producing wavelength 5...

A source of sound producing wavelength 50 cm is moving away from a stationary observer with `(1/5)^(th)` speed of sound. Then what is the wavelength of sound received by the observer?

A

55 cm

B

40 cm

C

60 cm

D

70 cm

Text Solution

Verified by Experts

The correct Answer is:
C
Here, wavelength of the source, `lamda =50 cm`
Speed of the sound = v
Speed of the source,`v_(s)=1/5v`
As the source is moving away from the stationary observer, therefore the wavelength of sound received by the observer is
`lamda'=(v+v_(s))/vlamda=((v+1/5v))/vlamda=6/5lamda=6/5xx50cm=60 cm`
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