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JEE Main 2023 (Online) 12th April Morning Shift

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For a certain organ pipe, the first three resonance frequencies are in the ratio of \(1:3:5\) respectively. If the frequency of fifth harmonic is \(405 \mathrm{~Hz}\) and the speed of sound in air is \(324 \mathrm{~ms}^{-1}\) the length of the organ pipe is _________ \(\mathrm{m}\).

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