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Question

The pitch of an open organ pipe at constant temperature corresponding to fundamental frequency is highest when the pipe is filled with

A
nitrogen
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B
hydrogen
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C
oxygen
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D
chlorine
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Solution

The correct option is B hydrogen
We know that pitch depend on the frequency of sound.
For open organ pipe, fundamental frequency,
f=v2l, ...........(1)
where l is the length of an organ pipe.
Also, speed of sound in gaseous medium,
v=γRTM ...........(2)
At constant temperature and for diatomic gases,
f1M
[from (1) and (2)]
So, lighter gas will have higher frequency thus higher pitch.

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