Two open pipes of different lengths and of same diameter in which the air column vibrates with fundamental frequencies ‘ n 1 ’, and ‘ n 2 ’ respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

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Correct answer: D. n 1 n 2 n 1 + n 2

n 1 = v 2 l 1 ; n 2 = v 2 l 2 ∴ n = v 2 r + l 2 = v 2 r + 2 l 2 n = v v n 1 + v n 2 = n 1 n 2 n 1 + n 2

Two open pipes of different lengths and of same diameter in which the air column vibrates with fundamental frequencies ‘ n 1 ’, and ‘ n 2 ’ respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

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