Physics: 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?

Isosceles triangle because there are two equal sides....

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

heroicblad

19.01.2022

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.

$f_{3} = 3(\frac{v}{2L})$

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

$f_{3}$ = 392 Hz

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

$f_{3} = 3(\frac{v}{2L})$

L = $\frac{3v}{2f_{3}}$

= $\frac{3 \times 344}{2 \times 392}$

= $\frac{1032}{784}$

= 1.316 m

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

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