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Two very large open tanks \( A \) and \( \mathrm{F} \) both contain the same liquid. A horizontal pipe \( \mathrm{BCD} \), having a constriction at \( \mathrm{C} \) leads out of the
\( \mathrm{P} \) bottom of \( \operatorname{tank} \mathrm{A} \), and a vertical pipe E opens into the constriction at \( \mathrm{C} \) and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross section at \( \mathrm{C} \) is one half that at \( \mathrm{D} \) and if \( \mathrm{D} \) is at
W a distance \( h_{1} \) below the level of liquid in \( A \), to what height \( h_{2} \) (in terms of \( \mathrm{h}_{1} \) ) will liquid rise in pipe E?
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