In a movable container shown in figure a liquid of density `rho` is filled up to a height h the upper & lower the cross sectional areas are `A_(2)&A_(1)` respectively `(A_(2)gtgtA_(1))` if the liquid leaves out the container through the tube of cross-sectional area `A_(1)` then find.
(i). Velocity of liquid coming out.
(ii). Backward acceleration of the container.

Answer

(i). `v=(sqrt(2gh)), (ii). `a=(2gA_(1))/(A_(2))`