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JEE Main202126 Aug 2021Morning ShiftPhysicsMechanical Properties of FluidsActual

Two narrow bores of diameter 5 . 0 mm and 8 . 0 mm are joined together to form a U - shaped tube open at both ends. If this U - tube contains water, what is the difference in the level of two limbs of the tube. [Take surface tension of water T = 7 . 3 × 10 - 2 N m - 1 , angle of contact = 0 , g = 10 m s - 2 and density of water = 1 . 0 × 10 3 kg m - 3

Options

  1. A5 . 34   mm
  2. B3 . 62   mm
  3. C2 . 19   mm
  4. D4 . 97   mm

Correct answer

C. 2 . 19   mm

Step-by-step solution

P 0 - 2 T R 1 + h 1 ρ g = P 0 - 2 T R 2 + h 2 ρ g h 1 - h 2 ρ g = 2 T 1 2 . 5 × 10 - 3 - 1 4 × 10 - 3 ⇒ h 1 - h 2 = 2 . 19   mm

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