# An open organ pipe has a length of 5 cm. (a) Find the fundamental frequency of vibration of this pipe. (b) What is the highest harmonic of such a tube

21 views
in Physics
closed
An open organ pipe has a length of 5 cm. (a) Find the fundamental frequency of vibration of this pipe. (b) What is the highest harmonic of such a tube that is in the audible range ? Speed of sound in air is 340 ms^-1 and the audible range is 20-20,000 Hz.

by (85.2k points)
selected

a. Here given
I=5xm=5xx10^=2m
v=340m/s
rarr n=V/(2I)=340/(2xx5xx10^-2)
=3.4kHz
b. If the fundamental frequency =3.1kHz
then the highest Harmonic in the audible range (20Hz-20kHz)
=20000/3400=5.8=5
(Integral multiple of 3.4 kHz)