Question

An open pipe is in resonance in its fundamental聽mode. Air, hydrogen, ethane are filled in聽succession in this pipe. The velocity of sound is聽different in these three media on account of which

A

Only the wavelength changes

B

Both frequency and wavelength change

C

Only the frequency changes

D

Amplitude change

Medium

Solution

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Correct option is C)

We know, , where = speed of sound; = frequency and聽 = wavelength
The resonance is a standing wave phenomenon in the air column and occurs when the column length is聽/2, , 3/2 ... ( in case of open pipe)
So in resonance condition amplitude and wavelength cannot change.
Only frequency changes for different kind of gases.

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