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JEE Main202330 Jan 2023Morning ShiftPhysicsMechanical Properties of FluidsActual

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, 5 cm . If the tube is dipped in a similar manner in another liquid B of surface tension and density double the values of liquid A , the height of liquid column raised in liquid B would be ______ m .

Options

  1. A0 . 20
  2. B0 . 5
  3. C0 . 05
  4. D0 . 10

Correct answer

C. 0 . 05

Step-by-step solution

The height h through which a liquid will rise in a capillary tube of radius r is given by, h = 2 T cos θ r ρ g ∝ T ρ ∝ 2 T 2 ρ As we can see in both cases, value of height will remain same. Therefore, h ' = h = 5   cm =   0 . 05   m

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