Question

Find the frequency (in hertz) of the first overtone for a 1.75 m pipe that is closed at only one end. Use 350 m/s for the speed of sound in air. Also, would increasing the air temperature raise, lower, or have no effect upon this frequency?

Answer 1

The first overtone frequency is 100 Hz.

Solution:

According to the question:

Length of pipe, l = 1.75 m

Speed of sound in air, v_{sa} = 350 m/s

Frequency of first overtone,
`f_(1)` is given by:

`f_(1) = (v_(sa))/(2l)`

`f_(1) = (350)/(2* 1.75) = 100 Hz`

Since, the frequency, as clear from the formula depends only on the speed

and the length. It is independent of the air temperature.

Thus there will be no effect of air temperature on the frequency.