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MHT CET 2019 (2 May, Shift 1) · Terminal Velocity

Terminal Velocity question from MHT CET 2019 (2 May, Shift 1)

Q49MHT CET 2019 · 2 MAY · SHIFT 1Medium

Terminal Velocity

A metal sphere of radius ' RR ' and density ' ρ1\rho_1 ' is dropped in a liquid of density ' σ\sigma ' moves with terminal velocity ' vv '. Another metal sphere of same radius and density ' ρ2\rho_2 ' is dropped in the same liquid, its terminal velocity will be

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Answer: (c)

  1. Same radius and liquid: v∝(ρ−σ)v \propto (\rho - \sigma).
  2. v2=v ρ2−σρ1−σv_2 = v\,\dfrac{\rho_2 - \sigma}{\rho_1 - \sigma}
  3. So the answer is (c).
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