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QJEEM22Ph44ec: JEE Main 2022 Physics - Class 11 JEEM22Ph44ec Solution: The velocity of a small ball of mass 'm' and density d 1 , when …

The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d2, then the viscous force acting on the ball, will be :

Multiple Choice Options

  • A mg(1−d1d2)
  • B mg(1−d2d1)
  • C mg(d1d2−1)
  • D mg(d2d1−1)

Step-by-Step Verified Solution

Viscous force acting on the ball will be equal and opposite to net of weight and buoyant force

⇒F0=43πr3d1g−43πr3d2g

=43πr3d1g(1−d2d1)

=mg(1−d2d1)

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