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A glass tube of $1.0 m$ length is filled with water. The water is drained out very slowly from the tube through a hole in the bottom while a vibrating $500 Hz$ tuning fork is held near the open upper end of the tube. If the speed of sound is $320 {ms}^{- 1},$ find the number of resonances that can be obtained.

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answer is 3.

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Detailed Solution

$L_{min} = \frac{C}{4 f} = 16 cm$

So, resonance for length $16 cm, 48 cm, 80 cm$ i.e., 3 cases.

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