Question

The pressure P1 at the top of a dam and P2 at a depth h from the top inside water (density ρ) are related as: (a) P1 > P2 (b) P1 = P2 (c) P1 – P2 = hρg (d) P2 – P1 = hρg

March 16, 2024

Answer

(d) P₂ – P₁ = hρg

Reason — The pressure at a point inside a liquid at a depth h is P₂

P₂ = pressure at the top of a dam (P₁) + pressure due to liquid column

= P₁ + hρg

So, P₂ = P₁ + hρg

Hence,

P₂ – P₁ = hρg

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