An organ pipe is open at both ends. It is producing sound at its n = 3 harmonic, the frequency of which is 392 Hz. Take the speed of sound to be 344 m/s. What is the length of the pipe?

Explanation:

Formula for the organ pipe of length L which is open at both the ends. So, its third harmonic frequency will be given as follows.

where,    v = speed of the sound = 344 m/s

            = 392 Hz

Hence, putting the given values into the above formula as follows.

            L =

               =

               =

               = 1.316 m

Thus, we can conclude that the length of the pipe is 1.316 m.