A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths isA. `1:2`B. `2:1`C. `2:3`D. `4:3`

A closed organ pipe and an open organ pipe are tuned to the same funda

1.	A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths isA. `1:2`B. `2:1`C. `2:3`D. `4:3`
Answer» Correct Answer - A Let `l_1` and `l_2` be the lengths of closed and open pipes respectively. (neglecting end correction) `l_1=(lamda_1)/(4)implieslamda_1=4l_1` and `l_2=(lamda_2)/(2)implieslamda_2=2l_2` Given `n_1=n_2` so `(v)/(lamda_1)=(v)/(lamda_2)implies(v)/(4l_1)=(v)/(2l_2)=(l_1)/(l_2)=(1)/(2)`

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A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths isA. `1:2`B. `2:1`C. `2:3`D. `4:3`

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