A rectangular vessel of dimension (`lxxbxxh`) and mass `M` contains a liquid of density `rho`. The vessel has an orifice at its bottom at a distance `c` from the rear wall as shown in the figure.

Options

A. The maximum volume of the water that can be stored when the vessel is accelerated is `hcb//2`
B. The maximum volume of the water that can be stored when the vessel is accelerated is `hlb//2`
C. Force F that must he applied when maximum water stored is `[M+(hcbrho)/2](hg)/c`
D. Force F that must be applied when maximum water stored is `[M+(hcbrho)/2](lg)/c`

Answer

A, C

Explanation

The maximum amount of water that can be retained is shown in the figure. If `theta` is the angle made by the water suface with the horizontal then
`tantheta=h/c=a/gimpliesa=(hg)/c`
So the maximum volume that can be retained is `(1/2)xxhxxcxxb` and `F=[M+(hcbrho)/2](hg)/c`