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.

We know : Terminal velocity propto( radius )^2 frac( v_ T)_1( v_ T)_2=((6 / 3))^2 ( v_ T)_2=frac( v_ T)_14=5 cm / sec

The terminal velocity of a metallic ball of radius 6 mm... | null (Physics) | DivineJEE

JEE Mains 2026 21st January Shift 2

Physics

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}

Correct Answer:

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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