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MHT CET202015 Oct 2020Morning ShiftPhysicsMechanical Properties of FluidsActual

A metal sphere of mass 'm' and density ' ₁ ' falls with terminal velocity through a container containing liquid. The density of liquid is ' ₂ '. The viscous force acting on the sphere is

Options

  1. Amg (1- ₁ ₂ )
  2. Bmg (1- ₂^ ₁ )
  3. Cmg (1+ ₁ ₂ )
  4. Dmg (1+ ₂ ₁ )

Correct answer

B. mg (1- ₂^ ₁ )

Step-by-step solution

F = 4 3 r ³ ( ~d ₁- d ₂ ) g F = 4 3 r ³ ~d ₁ (1- d ₂ ~d ₁ ) g = M (1- d ₂ ~d ₁ ) g

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