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MHT CET202016 Oct 2020Morning ShiftPhysicsMechanical Properties of FluidsActual

A small metal sphere of mass 'M' and density 'd ₁ ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is (d₂= . density of liquid, g = gravitational acceleration )

Options

  1. AMg (1- d ₂ ~d ₁ )
  2. BM _ g ( d ₂ ~d ₁ )
  3. CM _ g (1- d ₁ ~d ₂ )
  4. DM g_ - ( d ₁ ~d ₂ )

Correct answer

A. Mg (1- d ₂ ~d ₁ )

Step-by-step solution

F = 4 3 r ³ ( ~d ₁- d ₂ ) g F = 4 3 r ³ ~d ₁ (1- d ₂ ~d ₁ ) g = M (1- d ₂ ~d ₁ ) g

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