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When a solid ball of volume V is released in a viscous liquid it experiences a viscous force F. If the solid ball of the same material of volume V/2 is released in the liquid then the viscous -

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Question

When a solid ball of volume V is released in a viscous liquid it experiences a viscous force F. If the solid ball of the same material of volume V/2 is released in the liquid then the viscous force will be (where `eta` = coefficient of viscosity) ____________.

Options

  • `eta  "F"//2`

  • F/2

  • 2 F

  • `2 eta  "F"`

MCQ
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Solution

When a solid ball of volume V is released in a viscous liquid it experiences a viscous force F. If the solid ball of the same material of volume V/2 is released in the liquid then the viscous force will be F/2.

Explanation:

`"F" prop "r"^3 prop "V"`

As volume becomes doubled, F changes to F/2.

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Stokes’ Law
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