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JEE Main 2022 (27 Jun, Shift 1) · Viscosity & Stokes' Law

Viscosity & Stokes' Law question from JEE Main 2022 (27 Jun, Shift 1)

Q21JEE Main 2022 · 27 JUN · SHIFT 1Medium

Viscosity & Stokes' Law

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:

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Answer: (b)

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 (b).

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