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JEE Main 2026 (8 Apr, Shift 2) · Terminal Velocity

Terminal Velocity question from JEE Main 2026 (8 Apr, Shift 2)

Q9JEE Main 2026 · 8 APR · SHIFT 2Medium

Terminal Velocity

A spherical liquid drop of radius $R$ acquires the terminal velocity $v_1$ when falls through a gas of viscosity $\eta$ . Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity $v_2$ falling through the same gas. The ratio of terminal velocities $v_1/v_2$ is ______.

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Answer: (d)

Volume conserved: $R^3 = 64r^3 \Rightarrow r = R/4$ .
$v \propto r^2 \Rightarrow \dfrac{v_1}{v_2} = \left(\dfrac{R}{r}\right)^2 = 16$
So the answer is (d) 16.

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