The vessel shown in the figure has two sections of areas of cross-section ` A _ 1 and A _2 `. A liquid of density ` rho ` fills both the section, up to a height h in each. Neglect atmospheric pressure. Choose correct options.

Options

A. The pressure at the base of the vessel is ` 2 h rho g `
B. The force exerted by the liquid on the base of the vessel is ` 2 h rho g A _ 2`
C. The weight of the liquid is ` lt 2 h rho g A _ 2 `
D. The walls of the vessel at the level X exert a downward force ` h rho g ( A_2 - A _ 1 ) ` on the liquid

Answer

A, B, C, D

Explanation

Pressure at bottom of vessel is ` P_B = 2 h rho g ` . Force at bottom is ` F_B = P_B A _ 2 = 2 hrho g A _ 2 `
Pressure at level x is ` P_x = h rho g ` Force on horizontal walls of container is ` F_x = h rho g (A_2 - A_1 ) `upward
Hence walls will exert same downward force on liquid.