Question

An air column in a pipe, which is closed at one end will be in resonance with a vibrating body of frequency 166 Hz, if the length of the air column is ______.

Options

• 2 m

• 1.5 m

• 1 m

• 0.5 m

Answer 1

An air column in a pipe, which is closed at one end will be in resonance with a vibrating body of frequency 166 Hz, if the length of the air column is 0.5 m.

Explanation:

Fundamental frequency for closed pipe at one end.

f = \[\frac {v}{4l}\], \[\frac {3v}{4l}\], \[\frac {5v}{4l}\]...

Now, 166 = \[\frac {332}{4l}\]

l = \[\frac {332}{166\times4}\] = 0.5 m