A container is filled with two incompressible liquids: the lower layer has density ρ and height h, and the upper layer has density 2ρ and height h. Find the pressure at the bottom if the pressure at the free surface is P₀. Image
Options

Question

A container is filled with two incompressible liquids: the lower layer has density ρ and height h, and the upper layer has density 2ρ and height h. Find the pressure at the bottom if the pressure at the free surface is P₀. Image

Options

G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives A: P₀ + 3ρgh. Final answer: A.