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JEE Main20202 Sep 2020Evening ShiftPhysicsMechanical Properties of FluidsActual

A capillary tube made of glass of radius 0 . 15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0 . 05 N m - 1 , density = 667 kg m - 3 ) which rises to height h in the tube. It is observed that the two tangents drawn from observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of 60 º with one another. Then h is close

Options

  1. A0 . 049   m
  2. B0 . 087   m
  3. C0 . 137   m
  4. D0 . 172   m

Correct answer

B. 0 . 087   m

Step-by-step solution

h = 2 Tcos θ ρ gr    θ = 30 °    P = 667   kg   m - 3 ;   T = 1 / 20   N   m - 1 ;   r = 0 . 15 × 10 - 3 = 2 × 1 20 × 3 2 667 × 10 × 0 . 15 × 10 - 3 = 0 . 087 m

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