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MHT CET202311 May 2023Morning ShiftPhysicsMechanical Properties of FluidsActual

Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio 4: 3 . The rise of liquid in two capillaries is ' h₁ ' and ' h h₂ ' respectively. If the surface tensions of liquids are in the ratio 6: 5 , the ratio of heights ( h₁ h₂ ) is (Assume that their angles of contact are same)

Options

  1. A0.4
  2. B0.5
  3. C0.8
  4. D0.9

Correct answer

D. 0.9

Step-by-step solution

Given: Density ratio: ₁ ₂ = 4 3 and surface tension ratio: T ₁ ~T ₂ = 6 5 Rise of liquid in a capillary: h = 2 ~T r g For constant , r and g , aligned h & T & h ₁ ~h ₂ = T ₁ ₂ ~T ₂ ₁ = 6 3 5 4 =0.9 aligned

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