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MHT CET202620 April 2026Evening ShiftPhysicsMechanical Properties of FluidsActual

If we dip capillary tubes of different radii r_n in water and the water rises to different heights h_n in them, then ( n = 1, 2, 3 .........)

Options

  1. Ah_n r_n^2 = constant
  2. Bh_n r_n = constant
  3. Ch_n r_n^2 = constant
  4. Dh_n r_n = constant

Correct answer

D. h_n r_n = constant

Step-by-step solution

The height h of the liquid column in a capillary tube of radius r is given by Jurin's law: h = 2T g r For a given liquid and tube material, the surface tension T , angle of contact , density , and acceleration due to gravity g are constants. Therefore, h 1 r h r = constant For different capillary tubes, h_n r_n = constant . Answer: h_n r_n = constant

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