Question

what is meant by the organ pipe? Derive expression for stationary waves formed in a closed organ pipe and discuss normal modes of vibration of the pipe

Answer 1

n the first mode of vibration in the closed organ pipe, an antinode is formed at the open end and a node is formed at the close end. If ‘l’ be the length of pipe and   be the wavelength of wave emitted in this mode of vibration.

Then,

if ‘μ’ be the velocity of sound and to be the frequency of wave in this mode of vibration.

This is fundamental frequency of 1st harmonics