The vessel shown in the figure contains water, take `rho_("water")=1000kg//m^(2), g=m//s^(2)`). For this arrangement, answer the following questions:

Mark out the correct statement(s).

Options

A. Net force acting on the base of the vessel `gt` weight of the liquid inside the vessel.
B. Net force acting on the base of the vessel `=` weight of the liquid inside the vessel.
C. Net pressure force acting on the liquid `=` weight of the vessel
D. Both (a) and (c) are correct.

Answer

D

Explanation

Pressure at bottom of vessel
`P=rhogxx6cm`
`=1000xx10xx6/100`
`=600N//m^(2)`
Force acting at the base
`F=rhoA_(2)=600xx50xx10^(-4)`
`=3N`

Weight of liquid inside the vessel
`W=rho[A_(1)xx5cm+A_(2)xx1cm]g`
`=1000[10xx5+50xx1]xx10^(-6)xx10=1N`
So `FgtW`
The free body diagram of the liquid is as shown. The net force on the liquid is zero.