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MHT CET 2023 (10 May, Shift 1) · Angle of Contact & Capillarity

Angle of Contact & Capillarity question from MHT CET 2023 (10 May, Shift 1)

Q45MHT CET 2023 · 10 MAY · SHIFT 1Medium

Angle of Contact & Capillarity

Three liquids have same surface tension and densities ρ1,ρ2\rho_1, \rho_2, and ρ3 (ρ1>ρ2>ρ3)\rho_3\ (\rho_1 > \rho_2 > \rho_3). In three identical capillaries rise of liquid is same. The corresponding angles of contact θ1,θ2\theta_1, \theta_2 and θ3\theta_3 are related as

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Answer: (c)

  1. Same hh, TT, rr: cos⁡θ∝ρ\cos\theta \propto \rho.
  2. ρ1>ρ2>ρ3⇒cos⁡θ1>cos⁡θ2>cos⁡θ3\rho_1 > \rho_2 > \rho_3 \Rightarrow \cos\theta_1 > \cos\theta_2 > \cos\theta_3.
  3. So θ1<θ2<θ3\theta_1 < \theta_2 < \theta_3; the answer is (c).
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