$A$ pipe open at both ends and a pipe closed at one end have the same length. The ratio of the frequencies of the air columns in their $p^{\text{th}}$ overtone respectively is

  • A
    $\frac{p}{2p+1}$
  • B
    $\frac{p+1}{2p}$
  • C
    $\frac{p+1}{2p+1}$
  • D
    $\frac{2(p+1)}{2p+1}$

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