Two open organ pipes of fundamental frequencies $n_1$ and $n_2$ are joined in series.  The fundamental frequency of the new pipe so obtained will be

  • A

    $n_1 + n_2$

  • B

    $n_1n_2 / (n_1 + n_2)$

  • C

    $\sqrt {n_1n_2}$

  • D

    $\sqrt {(n^2_1 + n^2_2)}$

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