# An open pipe has a length of 0.75 m. What would be the length of a closed organ pipe whose third harmonic(n=3) is the same as the fundamental frequency of the open pipe?

##### 1 Answer

Sep 14, 2015

#### Explanation:

For an open pipe the 1st harmonic looks like this:

This refers to half a wavelength so:

Since

For the closed pipe the 3rd harmonic looks like this:

In this case:

So

So

These frequencies are equal so putting