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MHT CET 2025 (20 Apr, Shift 2) · Terminal Velocity

Terminal Velocity question from MHT CET 2025 (20 Apr, Shift 2)

Q17MHT CET 2025 · 20 APR · SHIFT 2Medium

Terminal Velocity

Two raindrops reach the earth with different terminal velocities having the ratio 9:49 : 4. The ratio of their volumes is

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Answer: (d)

  1. v∝r2⇒r1r2=94=32v \propto r^2 \Rightarrow \dfrac{r_1}{r_2} = \sqrt{\dfrac{9}{4}} = \dfrac{3}{2}
  2. V∝r3⇒V1V2=(32)3=278V \propto r^3 \Rightarrow \dfrac{V_1}{V_2} = \left(\dfrac{3}{2}\right)^3 = \dfrac{27}{8}
  3. So the answer is (d) 278\frac{27}{8}.
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