Question

A pipe 0.770 m long and closed at one end is filled with an unknown gas. The third lowest harmonic frequency for the pipe is 750 Hz. (a) What is the speed of sound in the unknown gas?

Answer 1

Answer:

speed of sound in unknown gas will be 360m/sec

Explanation:

We have given length of the pipe l = 0.770 m

It is given that pipe is open at one end and closed at one end

Frequency of third harmonic f = 750

Third harmonic frequency of pipe which one end is open and one end is closed is given by

$f=\frac{5v}{4L}$, here v is the speed of the sound, L is the length of the pipe

So  $750=\frac{5v}{4\times 0.770}$

v = 360 m /sec

So speed of sound in unknown gas will be 360m/sec