Q.

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 of the air column will be

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a

f

b

f2

c

3f2

d

2f

answer is C.

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Detailed Solution

Frequency,  f=v2l and f=v4(l/2)=v2l=f

when half of the length is dipped in water, it will become closed pipe.

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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 of the air column will be