STANDARD Physics Capillarity MCQ Question
Three liquids of densities ρ₁, ρ₂ and ρ₃ (with ρ₁ > ρ₂ > ρ₃), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact θ₁, θ₂ and θ₃ obey
π/2 > θ₁ > θ₂ > θ₃ ≥ 0
0 ≤ θ₁ < θ₂ < θ₃ < π/2
π/2 < θ₁ > θ₂ > θ₃ < π
π > θ₁ > θ₂ > θ₃ > π/2
Correct Answer
Detailed Explanation
Capillary rise, h = (2T cos θ) / (rρg). For given T and r, h ∝ cos θ. Since ρ₁ > ρ₂ > ρ₃, cos θ₁ > cos θ₂ > cos θ₃. Hence, 0 ≤ θ₁ < θ₂ < θ₃ < π/2.
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