$A$ pipe open at both ends and a pipe closed at one end have the same length. The ratio of the frequencies of their $P^{\text{th}}$ overtone is:
- A$\frac{P+1}{2P}$
- B$\frac{P+1}{2P+1}$
- C$\frac{2(P+1)}{2P+1}$
- D$\frac{P}{2P+1}$
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