Question

The pressure of water on the ground floor, in a water pipe is 150000 Pa, whereas pressure on the fourth floor is 30000 Pa. Calculate the height of the fourth floor. Take g = 10 ms⁻².

Answer 1

Pressure of water at fourth floor = P₂ = 3000 Pa Let h be the height of the fourth floor
Difference in the pressure of water on the ground floor and fourth floor
= P₁ – P₂ = 150000 – 30000
= 120000 Pa
Pressure of water due to height (h) = hρg
⇒ P₁ – P₂ = hρg
120000 = h × 1000 × 10 ......[ρ = 1000 kgm⁻³ = Density of water]
h = `120000/10000`
= 12 m