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  4. The velocity of a small ball of mass M and density d, 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:

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Q. The velocity of a small ball of mass $M$ and density $d$, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{d}{2}$, then the viscous force acting on the ball will be:

NEETNEET 2021Thermal Properties of Matter

Solution:

$F_{D}+B=M g$
$\Rightarrow F_{D}+\left(\frac{d}{2}\right)\left(\frac{M}{d}\right) g=M g $
$\Rightarrow F_{D}=\frac{M g}{2}$