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ExamsJEE MainPhysics

If ‘M’ is the mass of water that rises in a capillary tube of radius ‘r’, then mass of water which will rise in a capillary tube of radius ‘2r’ is

  1. M
  2. M/2
  3. 4M
  4. 2M

Correct answer: 2M

Solution

Capillary rise h = 2T cos(theta)/(rho g r) varies as 1/r. Mass = rho * pi r^2 * h varies as r^2 * (1/r) = r. Doubling the radius doubles the mass, giving 2M.

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