An open and closed organ pipe have the same length. The ratio of $p^{th}$ mode of frequency of vibration of two pipes is
AIIMS 2012, Medium
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For open pipe, $n=p \frac{v}{2 \ell}$
For closed pipe $n^{\prime}=(2 p-1) \frac{v}{4 \ell}$
$\therefore \frac{\mathrm{n}}{\mathrm{n}^{\prime}}=\frac{2 \mathrm{p}}{(2 \mathrm{p}-1)}$
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