An organ pipe $P_1$, closed at one end vibrating in its first harmonic and another pipe $P_2$, open at both ends vibrating in its third harmonic, are in resonance with a given tuning fork, The ratio of the lengths of $P_1$ and $P_2$ is
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${{\rm{f}}_{{{\rm{p}}_1}}} = {{\rm{f}}_{{{\rm{p}}_2}}} \Rightarrow \frac{{\rm{v}}}{{4{l_1}}} = \frac{{3{\rm{v}}}}{{2{l_2}}} \Rightarrow \frac{{{l_1}}}{{{l_2}}} = \frac{1}{6}$
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