Sixty four rain drops of radius 1 mm each falling down with a… | JEE Main 2026 (24 Jan, Shift 1)

Q4JEE Main 2026 · 24 JAN · SHIFT 1Easy

Terminal Velocity

Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of $10\text{ cm/s}$ coalesce to form a bigger drop. The terminal velocity of bigger drop is

$\underline{\hspace{3em}}\text{ cm/s}$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 160

$v \propto r^2$ ; volume conserved: $R = 64^{1/3}r = 4r$ .
$v' = 4^2 \times 10 = 160$ cm/s
Terminal velocity of bigger drop $= 160$ cm/s.

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Terminal Velocity question from JEE Main 2026 (24 Jan, Shift 1)

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