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Q.

The velocity of 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 glycerinis d2, the viscous force acting on ball is

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a

Mg1−d2d1

b

Md1gd2

c

Md1+d2g

d

Md1d2

answer is A.

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Detailed Solution

Since, ball gains the constant velocity.Therefore, net force on the ball = zero.⇒ Weight of the ball = Buoyancy force + Viscous force Fv⇒ Mg=Md1×d2×g+Fv∴ Fv=Mg1−d2d1
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The velocity of 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 glycerinis d2, the viscous force acting on ball is