A small metallic sphere of diameter 2 mm and density 10.5 g / cm 3 is dropped in glycerine having viscosity 10 Poise and density 1.5 g / cm 3 respectively. The terminal velocity attained by the sphere is \ \ \ \ cm / s . ( π=22/7 and g =10 m / s 2 )

Physics · Mechanical Properties of Matter

JEE Main 2026 — 23 January, Evening Shift — Question 41

A small metallic sphere of diameter 2 mm and density $10.5 \mathrm{~g} / \mathrm{cm}^{3}$ is dropped in glycerine having viscosity 10 Poise and density $1.5 \mathrm{~g} / \mathrm{cm}^{3}$ respectively. The terminal velocity attained by the sphere is $\_\_\_\_$ $\mathrm{cm} / \mathrm{s}$ . ( $\pi=\frac{22}{7}$ and $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$ )

Option A:
2
Correct
Option B:
1
Option C:
3
Option D:
1.5

Answer: A

Step-by-step solution

$\mathrm{V}_{\mathrm{T}}=\frac{2 \mathrm{r}^{2} \mathrm{~g}}{9 \eta}\left(\rho_{\mathrm{b}}-\rho_{\ell}\right)$ $\mathrm{V}_{\mathrm{T}}=\frac{2}{9} \frac{(.1)^{2} \times 10}{(10)}(10.5-1.5)$ $\mathrm{V}_{\mathrm{T}}=2 \mathrm{~cm} / \mathrm{sec}$ .

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Exam: JEE Main 2026
Paper: 23 January, Evening Shift
Subject: Physics
Chapter: Mechanical Properties of Matter
Topic: Viscosity

A ball of radius r and density rho dropped through a viscous liquid of density sigma and viscosity eta attains its terminal velocity at…

Answer: A

Step-by-step solution

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