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Question

A wall is moving with constant velocity u towards a fixed source of sound of frequency f. The velocity of sound is v. Then the wavelength of the sound reflected by the wall is

A
vf
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B
vuf
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C
v+uf
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D
vuv+u.vf
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Solution

The correct option is D vuv+u.vf
Given, velocity of sound = v
velocity of wall = u
then, relative speed of sound w.r.t. wall before reflection= v+u
Let, apparent frequency of the wall is f.
Then, f=(v+uv)f .......(1)
Relative speed of sound w.r.t. wall after reflection = vu
wavelength of sound reflected by wall =vuf
Putting f value from equation (1)
Wavelength of sound reflected by wall =vuv+u×vf
Hence, option (4) matches correctly.

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