Derive an expression for pressure exerted by liquid column of height h
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Answer:
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.
Explanation:
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