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?

Options

A. length of the pipe is `15/16` m
B. length of the pipe is `9/16` m
C. the maximum pressure at the open end is `P_0`
D. the minimum pressure at the open end is `P_0`

Explanation

`f=5.v/(4l)`
`rArr l=(5v)/(4f)=15/16m`
The open end is position of node of pressure.There is no pressure variation.