Question

Derive an expression for the pressure exerted by a liquid column of height h

Answer 1

The derivation is given in the picture.

Any doubts ask in comments.

Answer 2

The expression for the pressure is hpg

Let the liquid column of area be = A (Given)

Let the height of the container be =  h (Given)

Let the pressure at upper and lower columb of the liquid be = P1 and P2

Volume V = A h,

Where its mass when density of the liquid is ρ is represented by,mass = m =Ah

ρ and the weight acting vertically downwards is represented as W = Ahρg

Net pressure acting downwards = P1 + w/a

= P1 + Ahpg/A

= P1 + hpg

Net pressure acting upwards = P2

P2 = P1 + hpg or P2 - P1 = hpg

Therefore, the pressure exrted by the liquid column on the bottom of the container is represented by hρg.