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When a vibrating tuning fork of frequency 512 Hz is held above the mouth of a resonance tube of adjustable length, the first two successive positions of resonance occur when the lengths of the air columns are 15.4 cm and 48.6 cm respectively, diameter of resonance tube is nearly ______cm

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answer is 4.

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Detailed Solution

$\frac{λ}{4} = 15.4 + e$

$\frac{3 λ}{4} = 48.6 + e$

$\frac{λ}{2} = 33.2$

$\frac{λ}{4} = 16.6$

$e = 1.2$

$0.3 d = 1.2$

$d = 4 c m$

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