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In the experiment for determination of speed of sound in air using resonance tube method, the length of air column that resonates with fundamental mode with a tuning fork is 0.1 m. When length is changed to 0.45 m it resonates with 1^st overtone. Then find end correction.

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7.5 cm

6.5 cm

8.5 cm

5.5 cm

answer is B.

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Detailed Solution

$l_{1} + e = \frac{λ}{4} l_{2} + e = \frac{3 λ}{4}$

$0.1 + e = \frac{λ}{4} ..... (i) 0.45 + e = \frac{3 λ}{4}$

$\frac{0.1 + e}{0.45 + e} = \frac{1}{3} 0.3 + 3 e = 0.45 + e 2 e = 0.15 e = \frac{0.15}{2} = 0.075 m ≃ 7.5 c m$

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