A U-tube is initially filled to height ℓ on both sides with two immiscible liquids of densities ρ and 3ρ separated by a valve. The valve is opened. Find the final heights of the two liquid columns. Image
Options

Question

A U-tube is initially filled to height ℓ on both sides with two immiscible liquids of densities ρ and 3ρ separated by a valve. The valve is opened. Find the final heights of the two liquid columns. 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: 3ℓ/2 and ℓ/2. Final answer: A.