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MHT CET202121 Sep 2021Morning ShiftPhysicsMechanical Properties of FluidsActual

The velocity of a small ball of mass ' M ' and density ' d ₁ ' when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is ' d ₂ ', the viscous force acting on the ball is ( g = acceleration due to gravity)

Options

  1. AMg d ₁ ~d ₂
  2. BMgd ₁ ~d ₂
  3. CMg ( d ₁- d ₂ )
  4. DMg (1- d ₂ ~d ₁ )

Correct answer

D. Mg (1- d ₂ ~d ₁ )

Step-by-step solution

Since the velocity is constant, the net force acting on the ball is zero. aligned & F _ V + F _ B = Mg & F _ V + Vd ₂ ~g = Mg aligned F _ v + M d ₁ ~d ₂ ~g = Mg F _ V = Mg (1- d ₂ ~d ₁ )

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