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The air column in a pipe closed at one e...

The air column in a pipe closed at one end is made to vibrate in its second overtone by a tuning fork of frequency `440 Hz`. The speed of sound in air is `330ms^(-1)`. End corrections may be neglected. Let `P_(0)` denote the mean pressure at any point in the pipe, and `DeltaP` the maximum amplitude of pressure variation.
(a) What the length `L` of the air column.
(b) What is the amplitude of pressure variation at the middle of the column?
( c ) What are the maximum and minimum pressures at the open end of the pipe?
(d) What are the maximum and minimum pressures at the closed end of the pipe?

A

`(Deltap_(0))/(sqrt2)`

B

`(Deltap_(0))/(sqrt3)`

C

`(Deltap_(0))/(2)`

D

`(Deltap_(0))/(3)`

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A
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