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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

$\frac{3 f}{2}$

b

2f

c

f

d

$\frac{f}{2}$

answer is C.

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Detailed Solution

Frequency, $f = \frac{v}{2 l} and f^{'} = \frac{v}{4 (l / 2)} = \frac{v}{2 l} = f$

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