The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm / s . The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be \ \ \ \ cm / s .

Physics · Mechanical Properties of Matter

JEE Main 2026 — 21 January, Evening Shift — Question 44

The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is $20 \mathrm{~cm} / \mathrm{s}$ . The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be $\_\_\_\_$ $\mathrm{cm} / \mathrm{s}$ .

Answer: 5

Numerical answer — enter this value.

Step-by-step solution

We know : Terminal velocity $\propto(\text { radius })^{2}$ $\frac{\left(\mathrm{v}_{\mathrm{T}}\right)_{1}}{\left(\mathrm{v}_{\mathrm{T}}\right)_{2}}=\left(\frac{6}{3}\right)^{2}$ $\left(\mathrm{v}_{\mathrm{T}}\right)_{2}=\frac{\left(\mathrm{v}_{\mathrm{T}}\right)_{1}}{4}=5 \mathrm{~cm} / \mathrm{sec}$

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Exam: JEE Main 2026
Paper: 21 January, Evening Shift
Subject: Physics
Chapter: Mechanical Properties of Matter
Topic: Viscosity

Answer: 5

Step-by-step solution

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