A pipe closed at one end produces a fundamental frequency of 375Hz. If it is cut into two pipes of equal length, then the fundamental frequency produced by the open and closed pipes respectively are
A
750Hz,1000Hz
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B
750Hz,750Hz
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C
375Hz,750Hz
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D
1500Hz,750Hz
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Solution
The correct option is D1500Hz,750Hz 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=1500Hz
For closed pipe, Fundamental frequency, fo=v4l′ [l′=l2] ⇒fo=v4×v2×1500=750Hz