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Question

A sound wave of frequency 600 Hz falls normally on a perfect reflecting wall. The minimum distance from the wall at which the particles of the medium will have maximum displacement during their vibrations is
[speed of sound =300 m/s]

A
78 m
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B
38 m
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C
18 m
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D
58 m
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Solution

The correct option is C 18 m
Displacement of particles of the medium near the wall will be zero. So, the minimum distance d between the wall and the particles of the medium having maximum displacement during their vibrations will be λ4 as we can see in the image below.

So, d=λ4


We know that velocity of sound wave is given by,

v=λf

where λ is wavelength and f is frequency.

λ=vf

λ=300600=12 m

Now,

d=λ4=12×4=18 m

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