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A small metal sphere of radius a is fall...

A small metal sphere of radius a is falling with a velocity `upsilon` through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is `eta`, then the sphere encounters an opposing force of

A

`6pietaa^2v`

B

`(6etav)/(pia)`

C

`6pi eta av`

D

`(pietav)/(6a^3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Stokes established that if a sphere of radius a moves with velocity v through a fluid of viscosity `eta`, the viscous force opposing the motion of the sphere is `F=6pietaav`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FRICTION IN SOLID AND LIQUIDS-EXERCISE 2 (Miscellaneous Problems)
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