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A pipe open at both ends resonates to a frequency ‘n1’ and a pipe closed at one end resonates to a frequency ‘n2’. 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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