JEE Main 2026 · 8 Apr · Shift 2 · Physics Q34

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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 ________.

0.25

Answer and worked solution

Official answer: D

Terminal velocity $\propto r^2$ . 64 droplets each have radius $R/4$ , so $\dfrac{v_1}{v_2}=16$ .

(D)

Topics:Terminal velocity

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JEE Main 2026 · 8 Apr · Shift 2, Physics question 34