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BITSAT2016PhysicsMechanical Properties of FluidsActual

A capillary tube of radius r is immersed vertically in a liquid such that liquid rises in it to height h (less than the length of the tube). Mass of liquid in the capillary tube is m . If radius of the capillary tube is increased by 50 % , then mass of liquid that will rise in the tube, is

Options

  1. A2 3 ~m
  2. Bm
  3. C3 2 ~m
  4. D9 4 ~m

Correct answer

C. 3 2 ~m

Step-by-step solution

h = 2 ~T r g h 1 r h ₂ ~h ₁ = r ₁ r ₂ = 2 3 aligned ( r ₁= r , r ₂ .&= r +50 % of . r = 3 2 r ) New mass m ₂= r ₂² ~h ₂ &= ( 3 2 r ₁ )² ( 2 3 ~h ₁ ) &= 3 2 ( r ₁² ~h ₁ ) = 3 2 ~m aligned

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