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JEE Main 2024 (8 Apr, Shift 2) · Terminal Velocity

Terminal Velocity question from JEE Main 2024 (8 Apr, Shift 2)

Q30JEE Main 2024 · 8 APR · SHIFT 2Medium

Terminal Velocity

Small water droplets of radius $0.01\text{ mm}$ are formed in the upper atmosphere and falling with a terminal velocity of $10\text{ cm/s}$ . Due to condensation, if 8 such droplets are coalesced and formed a larger drop, the new terminal velocity will be ________ $\text{cm/s}$ .

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

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Answer: 40

$v \propto r^2$ ; volume conserved: $R = 8^{1/3}r = 2r$ .
$v' = 2^2 \times 10 = 40$ cm/s
New terminal velocity $= 40$ cm/s.

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