Question

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

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

$\lambda = \frac{2}{3}L$

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

$\lambda = \frac{v}{f}$

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

$\lambda = \frac{343}{262}$

$\lambda = 1.3091m$

Finally the length of the pipe would be

$L= \frac{3}{2}(1.3091)$

$L = 1.963m$