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MHT CET 2021 (21 Sep, Shift 1) · Viscosity & Stokes' Law

Viscosity & Stokes' Law question from MHT CET 2021 (21 Sep, Shift 1)

Q24MHT CET 2021 · 21 SEP · SHIFT 1Medium

Viscosity & Stokes' Law

The velocity of a small ball of mass ' $M$ ' and density ' $\mathrm{d}_1$ ' when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is ' $\mathrm{d}_2$ ', the viscous force acting on the ball is ( $\mathrm{g} =$ acceleration due to gravity)

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Answer: (d)

At constant velocity: $F_v = Mg - B$ .
$B = V d_2 g = \frac{M}{d_1}d_2 g$
$F_v = Mg\left(1 - \frac{d_2}{d_1}\right)$
So the answer is (d).

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