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JEE Main 2023 (6 Apr, Shift 1) · Viscosity & Stokes' Law

Viscosity & Stokes' Law question from JEE Main 2023 (6 Apr, Shift 1)

Q15JEE Main 2023 · 6 APR · SHIFT 1Medium

Viscosity & Stokes' Law

A small ball of mass $\mathrm{M}$ and density $\rho$ is dropped in a viscous liquid of density $\rho_0$ . After some time, the ball falls with a constant velocity. What is the viscous force on the ball?

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Answer: (a)

At constant velocity: $F = Mg - B$ .
$B = V\rho_0 g = \frac{M}{\rho}\rho_0 g$
$F = Mg\left(1 - \frac{\rho_0}{\rho}\right)$
So the answer is (a).

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