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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 


Your Answer
A
750 Hz,1000 Hz
Your Answer
B
750 Hz,750 Hz
Your Answer
C
375 Hz,750 Hz
Correct Answer
D
1500 Hz,750 Hz

Solution

The correct option is B 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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