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An organ pipe P1 closed at one end vibrating in its first overtone and another pipe P2, open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of P1 and P2 respectively are given by
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- 1 : 2
- 1 : 3
- 3 : 8
- 3 : 4
Correct Option: C
We know that the length of pipe closed at one end for first overtone (l1) = 3λ/4 and length of the open pipe for third overtone (l2) = 4λ/2 = 2λ.
| Therefore, the ratio of lengths | = | = | or l1 : l2 = 3 : 8 . | |||
| l2 | 2λ | 8 |
