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Question

A wall is moving with velocity u and a source of sound moves with velocity u/2 in the same direction as shown in the figure. Assuming that the sound travels with velocity 10u, the ratio of incident sound wavelength on the wall to the reflected sound wavelength by the wall is equal to

A
9:11
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B
11:9
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C
4:5
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D
5:4
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Solution

The correct option is A 9:11
Wavelength of the incident sound is
λl=10uu2f=19u2f
Frequency of the incident sound is
Fi=10uu10uu2f=1819f=fr
When fr is the frequency of the reflected sound. Wavelength of the reflected sound is
λr=10u+ufr=11u18f×19=11×1918uf
λiλr=19u2f×18f11×19u=911

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