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STANDARD Physics Capillarity MCQ Question

Type: MCQ-conceptual-Medium-Class 11

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

A

π/2 > θ₁ > θ₂ > θ₃ ≥ 0

B

0 ≤ θ₁ < θ₂ < θ₃ < π/2

C

π/2 < θ₁ > θ₂ > θ₃ < π

D

π > θ₁ > θ₂ > θ₃ > π/2

Correct Answer

Option B

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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