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JEE Main202227 Jun 2022Morning ShiftPhysicsMechanical Properties of FluidsActual

The velocity of a small ball of mass m and density d 1 , when dropped in a container filled with glycerine, becomes constant after some time. If the density of glycerine is d 2 , then the viscous force acting on the ball, will be

Options

  1. Am g 1 - d 1   d 2
  2. Bm g 1 - d 2 d 1
  3. Cm g d 1   d 2 - 1
  4. Dm g d 2   d 1 - 1

Correct answer

B. m g 1 - d 2 d 1

Step-by-step solution

At the time of terminal velocity ball is in equilibrium i.e. F g = F b + F v ⇒ F v = F g - F b ⇒ F v = m g - d 2 m d 1 g ⇒ m g 1 - d 2 d 1

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