An ideal liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section ${\mathrm{A}}_1$ and ${\mathrm{A}}_2$ are ${\mathrm{v}}_1$ and ${\mathrm{v}}_2$ respectively. The difference in the levels of the liquid in the two vertical tubes is h.

(i) The volume of the liquid flowing through the tube in unit time is ${\mathrm{A}}_1{\mathrm{v}}_1$.

(ii) ${\mathrm{v}}_2-{\mathrm{v}}_1=\sqrt{2\mathrm{gh}}$

(iii) ${\mathrm{v}}_2^2-{\mathrm{v}}_1^2=2\mathrm{gh}$