Question

An organ pipe is open at both ends. It is producing sound

atits third harmonic, the frequency of which is 262 Hz. The speed
ofsound is 343 m/s. What is the length of the pipe?

Answer 1

To solve this problem we will apply the concepts related to the wavelength of its third harmonic.

It describes that the wavelength is equivalent to

`\lambda = (2)/(3)L`

Here,

`\lambda = Wavelength`

The wavelength is in turn described as a function that depends on the change of the speed as a function of the frequency, that is to say

`\lambda = (v)/(f)`

In this case the speed is equivalent to the speed of sound and the frequency was previously given, therefore

`\lambda = (343)/(262)`

`\lambda = 1.3091m`

Finally the length of the pipe would be

`L= (3)/(2)(1.3091)`

`L = 1.963m`