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Question

A cylindrical resonance tube open at both ends has a fundamental frequency f in air. If half of the length is dipped vertically in water, the fundamental frequency of the air column will be

A
f2
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B
f
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C
3f2
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D
2f
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Solution

The correct option is B f
Fundamental frequency of open tube νo=v2L=f -----(1)

When half length of tube is dipped in water it acts as L2 length of closed pipe.

So, it's fundamental frequency will be νc=v4(L2)=v2L=f (From (1) )

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