`n th` harmonic of a closed organ is equal to `m th` harmonic of an pipe . First overtone frequency of the closed organ pipe is also equal to first overtone frequaency of an organ pipe . Find the value of `n`, if `m = 6`.

`n th` harmonic of a closed organ is equal to `m th` harmonic of an pi

1.	`n th` harmonic of a closed organ is equal to `m th` harmonic of an pipe . First overtone frequency of the closed organ pipe is also equal to first overtone frequaency of an organ pipe . Find the value of `n`, if `m = 6`.
Answer» Correct Answer - `9` `n((V)/( 4 L_(c ))) = m ((V)/( 2L_(0)))` `(i)` Also `3((V)/( 4L_( c))) = 2 ((V)/( 2 L_(0)))` `(ii)` FromEq. (ii) `(L_(c))/(L_(0)) = (3)/(4)` From Eq.(i) ` (n)/(m) = 2((L_(c ))/(L_(0))) = (6)/(4) = (3)/(2) = (9)/(6)` `n = 9` if `m = 6`

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`n th` harmonic of a closed organ is equal to `m th` harmonic of an pipe . First overtone frequency of the closed organ pipe is also equal to first overtone frequaency of an organ pipe . Find the value of `n`, if `m = 6`.

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