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A pipe open at both ends resonates to a frequency ‘n_{1}’ and a pipe closed at one end resonates to a frequency ‘n_{2}’. If they are joined to form a pipe closed at one end, then the fundamental frequency will be ______.

(A) `(n_1n_2)/(2n_2+n_1)`

(B) `(2n_2n_1)/(2n_2+n_1)`

(C) `(2n_2n_1)/(n_1+n_2)`

(D) `(n_2+2n_1)/(n_1n_2)`

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#### Solution

(a) `(n_1n_2)/(2n_2+n_1)`

Concept: Study of Vibrations of Air Columns

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