Q.

In the figure shown, an observer O1 floats (static) on water surface with ears in air while another observer  O2 is moving upwards with constant velocity  V1=V/5  in water. The source moves down with constant velocity  V2=V/5 and emits sound of frequency  f. The velocity of sound in air is V and that in water is 4V. For this situation the wavelength of the sound received by  O2 is  16Vxf. Find x

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answer is 5.

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Detailed Solution

For observer O1
 λ4=VVSf=VV/5f=4V5f
For  O2, there is change of medium. Hence, at the surface of water, keeping frequency unchanged
Vλa=4Vλw

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λw=4λa=16V5f

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