Question
An open pipe is emitting third overtone. One end of the pipe is suddenly closed and it is observed that now it starts emitting fourth overtone at frequency 360 higher than earlier. Find the fundamental frequency of the open pipe.
Solution
Let l be the length of pipe and v the velocity of sound in air.
The frequency of the third overtone of open pipe is,
...(1)
When one end is closed, it becomes one end closed pipe.
The frequency of the fourth overtone of one end closed pipe is,
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...(2)
It is given that,
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Now the fundamental frequency of open pipe is,
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The frequency of the third overtone of open pipe is,
...(1) When one end is closed, it becomes one end closed pipe.
The frequency of the fourth overtone of one end closed pipe is,
...(2) It is given that,
Now the fundamental frequency of open pipe is,
