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In a resonance-column experiment to measure the velocity of sound, the first resonance is obtained at a length $l_{1}$ and the sound resonance at a length $l_{2}$ , (end correction is taken into consideration), then -

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$l_{2} > 3 l_{1}$

May be any of the above depending on the frequency of the tuning fork used

$l_{2} < 3 l_{1}$

$l_{2} = 3 l_{1}$

answer is A.

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Detailed Solution

$l_{1} + e = \frac{λ}{4}$

$l_{2} + e = \frac{3 λ}{4}$

$l_{2} + e = 3 (l_{1} + e)$

$l_{2} = 3 l_{1} + 2 e$

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