If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake?

Question

If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake?, 10 m, 20 m, 60 m, 30 m

MARKS App · Accepted Answer

Pressure at bottom of the lake = P 0 + h ρ g and pressure at half the depth of a lake = P 0 + h 2 ρ g According to given condition = P 0 + 1 2 ρ g = 2 3 ρ 0 + h ρ g ⇒ h = 2 P 0 ρ g = 2 × 1 0 5 1 0 3 × 1 0 = 2 0 m

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