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MHT CET 2021 (24 Sep, Shift 2) · Terminal Velocity

Terminal Velocity question from MHT CET 2021 (24 Sep, Shift 2)

Q45MHT CET 2021 · 24 SEP · SHIFT 2Medium

Terminal Velocity

'n' small drops of same size fall through air with constant velocity 5 cm/s5\text{ cm/s}. They coalesce to form a big drop. The terminal velocity of the big drop is

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Answer: (b)

  1. v∝r2v \propto r^2 and R=n1/3rR = n^{1/3}r, so v′=n2/3vv' = n^{2/3}v.
  2. v′=5n2/3v' = 5n^{2/3} cm/s
  3. So the answer is (b) 5n2/35n^{2/3} cm/s.
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