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Question

A pipe open at both ends has a fundamental  frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now


A
f2
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B
3f4
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C
2f
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D
f
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Solution

The correct option is D f

For open end pipe in air, fundamental frequency

f=V2L

For the pipe closed at one end (dipped in water), fundamental frequency

f=V4L

L=L2

f=V2L=f


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