An open and a closed pipe have same length . The ratio of frequency of their `n th` overtone isA. `( n + 1)/( 2n + 1)`B. ` 2 ( n + 1)/( 2n + 1)`C. `( n)/( 2n + 1)`D. `( n + 1)/( 2n)`

An open and a closed pipe have same length . The ratio of frequency of

1.	An open and a closed pipe have same length . The ratio of frequency of their `n th` overtone isA. `( n + 1)/( 2n + 1)`B. ` 2 ( n + 1)/( 2n + 1)`C. `( n)/( 2n + 1)`D. `( n + 1)/( 2n)`
Answer» Correct Answer - B Let `l` be the length of the pipe and `v` the speed of sound . Then frequency of open organ pipe of `n th` overtone is `f_(1) = ( n + 1) (v)/( 2 l)` and frequency of closed organ pipe of `n th` overtone `f_(2) = ( 2 n + 1) (v)/( 4 l)` Therefore , the desired ratio is `(f_(1))/(f_(2)) = ( 2 (n + 1))/(( 2 n + 1))`

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An open and a closed pipe have same length . The ratio of frequency of their `n th` overtone isA. `( n + 1)/( 2n + 1)`B. ` 2 ( n + 1)/( 2n + 1)`C. `( n)/( 2n + 1)`D. `( n + 1)/( 2n)`

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