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
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