Question

A standing wave of the third overtone is induced in a stopped pipe, 2.5 m long. The speed of sound is The frequency of the sound produced by the pipe, in SI units, is closest to:

Answer 1

f3 = 102 Hz

Step-by-step explanation:

To find the frequency of the sound produced by the pipe you use the following formula:

`f_n=(nv_s)/(4L)`

n: number of the harmonic = 3

vs: speed of sound = 340 m/s

L: length of the pipe = 2.5 m

You replace the values of n, L and vs in order to calculate the frequency:

`f_(3)=((3)(340m/s))/(4(2.5m))=102\ Hz`

hence, the frequency of the third overtone is 102 Hz