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In resonance column apparatus to find velocity of sound in air, 1^st resonance occurs at air column of length $l_{1} = 16 cm$ for given tuning fork, the second resonating length ( $l_{2}$ ) of air column is (consider end correction)

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$l_{2} < 48 c m$

$l_{2} = 32 c m$

$l_{2} > 48 c m$

$l_{2} = 48 c m$

answer is B.

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Detailed Solution

$l_{2} - l_{1} = \frac{λ}{2} = 2 (l_{1} + e) = 2 l_{1} + 2 e$

$\Rightarrow l_{2} = 3 l_{1} + 2 e \Rightarrow l_{2} > 3 l_{1}$

$l_{2}$ > 48 cm

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