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

Solution

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

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