Four open organ pipes of different lengths and different gases at same temperature as shown in figure. Let $f_A$, $f_B$, $f_C$ and $f_D$ be their fundamental frequencies then :[Take ${\gamma _{c{o_2}}} = 7/5$]
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$f=\frac{\sqrt{\gamma R T}}{2 L \sqrt{M}}=\frac{k}{L \sqrt{M}}, f_{A}=\frac{k}{L \sqrt{2}}$
$f_{B}=\frac{2 k}{L \sqrt{32}}, f_{c}=\frac{3 k}{2 L \sqrt{28}}$
$f_{D}=\frac{3 k}{L \sqrt{44}}, \therefore f_{C} / f_{D}=\sqrt{\frac{11}{28}}$
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