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MHT CET202312 May 2023Evening ShiftPhysicsMechanical Properties of FluidsActual

A spherical metal ball of radius ' r ' falls through viscous liquid with velocity ' V '. Another metal ball of same material but of radius ( r 3 ) falls through same liquid, then its terminal velocity will be

Options

  1. AV 3
  2. BV 4
  3. CV 6
  4. DV 9

Correct answer

D. V 9

Step-by-step solution

v = 2 r ^2( - ) g 9 , and are constant v r ^2 The ratio of terminal velocities is aligned v ₁ v ₂ & = r ₁^2 r ₂^2 v ₁ v ₂ & = r ^2 ( r 3 )^2 v ₁ v ₂ & =9 v ₂ & = v 9 aligned

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