The lowest tone to resonate in an open pipe of length L is 200 Hz. Which one of the following frequencies will not resonate in the same pipe?
A) 200 Hz
B) 400 Hz
C) 600 Hz
D) 800 Hz
E) 900 Hz

Question

Quizplus · Accepted Answer

The lowest tone to resonate in an open pipe of length L is given by:

f1 = v/2L,

where v is the speed of sound.

So, for the given pipe, f1 = 200 Hz.

The next resonant frequency (second overtone) will be:

f2 = 3f1 = 600 Hz.

The third overtone will be:

f3 = 5f1 = 1000 Hz.

Therefore, out of the given choices, the frequency of 900 Hz (Option E) will not be resonant in the same pipe.

The Lowest Tone to Resonate in an Open Pipe of Length