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Question

A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude PA inside the tube. If the atmospheric pressure is P0 then the ratio of maximum and minimum pressure at the closed end of the tube will be


A

PA+P0PAP0

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B

PA+2P0PA2P0

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C

PAP0

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D

(PA+12P0PA12P0)

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Solution

The correct option is A

PA+P0PAP0


Maximum pressure at closed end will be atmospheric pressure adding with acoustic wave pressure.

So Pmax = PA + P0 and Pmin = PA - P0

Thus PmaxPmin = PA+P0PAP0


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