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MHT CET 2020 (16 Oct, Shift 1) · Viscosity & Stokes' Law

Viscosity & Stokes' Law question from MHT CET 2020 (16 Oct, Shift 1)

Q28MHT CET 2020 · 16 OCT · SHIFT 1Medium

Viscosity & Stokes' Law

A small metal sphere of mass $M$ and density $d_1$ when dropped in a jar filled with liquid moves with terminal velocity after sometime. The viscous force acting on the sphere is ( $d_2 =$ density of liquid and $g =$ gravitational acceleration)

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Answer: (b)

At terminal 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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