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Spherical balls of radius 'R' are fallin...

Spherical balls of radius 'R' are falling in a viscous fluid of viscosity `'eta'` with a velocity 'v'. The retarding viscous force acting on the spherical ball is:

A

inversely proportional to both radius 'R' and veloctiy 'v'

B

directly proportional to both radius 'R' and velocity 'v'

C

directly proportional to 'R' but inversely proportional to 'v'

D

inversely proportional to 'R' but directly proportional to veloctiy 'v'.

Text Solution

Verified by Experts

The correct Answer is:
B
From stoke's law, viscous force `F=6pietarv`. Hence F is directly proportional to radius and velocity.
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