The air column in a pipe closed at one end is made to vibrated in its second overtone by a tuning fork of frequency `440 H_(Z)` . The speed of sound in air is `330 m//s` . End corrections may be neglected. Let `p_(o)` denotes the mean pressure at any point in the pipe, end `Delta p_(o)` the maximum amplitude of pressure variation.
(a) Find the length `L` of the air column.
(b) What is the amplitude of varitation 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 pressure 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.