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It is desired to increase the fundamental resonance frequency in a tube which is closed at one end. This can be achieved by
A) Replacing the air in the tube by the hydrogen gas
B) Increasing the length of the tube
C) Decreasing the length of the tube
D) Opening the closed end of the tube

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A,C,D are true

A is only true

D is only true

C is only true

answer is A.

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Detailed Solution

$f_{0} = \frac{v}{4 l} = \frac{l}{4 l} \sqrt{\frac{γ R T}{M}} f α \frac{1}{\sqrt{M}} M_{H_{2}} < M_{a i r} f α \frac{1}{l}$

For COP, $f_{o} = \frac{V}{4 L}$

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