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MHT CET202310 May 2023Morning ShiftPhysicsWaves and SoundActual

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 (Assume angle of contact same)

Options

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

Correct answer

C. 0.05 ~m

Step-by-step solution

array ll & Height of liquid column, h = 2 ~T r g & Given: h ₁=5 ~cm & also T ₂=2 ~T ₁ ; ₂=2 ₁ & h ₁= 2 ~T ₁ r ₁ ~g & ~h ₂= 2 ~T ₂ r ₂ ~g = 2 (2 ~T ₁ ) r (2 ₁ ) g = 4 ~T ₁ r (2 ₁ ) g & h ₁ ~h ₂ = 5 ~h ₂ = 2 ~T ₁ r ₁ ~g r 2 ₁ ~g 4 ~T ₁ & 5 ~h ₂ =1 & h ₂=5 ~cm =0.05 ~m array

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