Equal volumes of immiscible liquids of densities ρ and 2ρ fill a vessel. Holes are made at depths h/2 and 3h/2 below the top surface as shown. If jet speeds are v₁ and v₂, find v₁/v₂. Image
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Equal volumes of immiscible liquids of densities ρ and 2ρ fill a vessel. Holes are made at depths h/2 and 3h/2 below the top surface as shown. If jet speeds are v₁ and v₂, find v₁/v₂. Image

G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives D: 1/√2. Final answer: D.