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Mechanical Properties Of Fluids

Question
CBSEENPH11019121

A source of sound produces waves of wavelength 28cm. The source is moving with velocity 12 m/s due east. Find the apparent wavelength of wave received by observer on: (i) east (ii) west of source. Take velocity of sound in air as 336 m/s.

Solution

Here, we have
Wavelength,  straight lambda equals 28 cm space equals space 0.28 straight m 
Velocity of the sound in air, straight V equals 336 straight m divided by straight s comma space space space space space straight u space equals space 12 space straight m divided by straight s 
(i) When the observer is on the east of train, the train moving due east will approach the observer.
The apparent wavelength of wave received by observer is, 
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(ii) When the observer is on the west of train, the train moving due east will move away from the observer.
The apparent wavelength of wave received by observer is, 
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             equals 0.29 space straight m space equals space 29 space cm