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Question

A pipe closed at one end produces a fundamental frequency of 375 Hz. If it is cut into two pipes of equal length, then the fundamental frequency produced by the open and closed pipes respectively are

A
750 Hz,1000 Hz
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B
750 Hz,750 Hz
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C
375 Hz,750 Hz
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D
1500 Hz,750 Hz
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Solution

The correct option is D 1500 Hz,750 Hz
For the original pipe,
Fundamental frequency,
fo=v4l
375=v4l
l=v1500
When it is cut into two pipes of equal length, then one pipe will be closed and the other will be open.
For open pipe,
Fundamental frequency,
fo=v2l
[l=l2]
fo=v2×v2×1500=1500 Hz

For closed pipe,
Fundamental frequency,
fo=v4l
[l=l2]
fo=v4×v2×1500=750 Hz

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