A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. What is the length of this pipe? Answer in units of cm.

51.72 cm.

Step-by-step explanation:

We have been given that a pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. We are asked to find the length of the pipe.

First of all, we will find the wavelength using following formula.

We know that Hz is equal to .

Length of the pipe would be half of the wave-length.

Since the length of pipe is in meters, so we will convert it into cm.

1 m = 100 cm

Therefore, the length of the pipe would be 51.72 cm.