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MHT CET20225 Aug 2022Evening ShiftPhysicsMechanical Properties of FluidsActual

If a capillary tube of radius 1 ~mm is immersed in water, the mass of water rising in the capillary tube is m . If the radius of the capillary tube is doubled, then the mass of water that rises in the same capillary tube will be

Options

  1. A3 ~m
  2. Bm / 2
  3. Cm
  4. D2 ~m

Correct answer

D. 2 ~m

Step-by-step solution

For capillary rise, h₁ r₁=h₂ r₂ h₂ h₁ = r₁ r₂ = 1 2 And m= r^2 h₁ and M=p(2 r)^2 h₂ aligned & M^ M = ( 2 r r )^2 ( 1 2 )=4 1 2 =2 & M=2 ~m aligned

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