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Question

A spherical ball of radius R is falling in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is:


A
directly proportional to R but inversely proportional to v
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B
directly proportional to both radius R and velocity v
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C
inversely proportional to both radius R and velocity v
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D
inversely proportional to R but directly proportional to velocity v
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Solution

The correct option is B directly proportional to both radius R and velocity v
According to Stoke's law,
The retarding viscous force FD=6πηRv
FD is directly proportional to radius and velocity.

Physics

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