Spherical ball of radius ' \( r \) ' is falling in a viscous fluid of viscosity ' \( \eta \) ' w...

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Spherical ball of radius ' \( r \) ' is falling in a viscous fluid of viscosity ' \( \eta \) ' with a velocity ' \( v \) '. The retarding viscous force acting on the spherical ball is
[AIEEE 2004]
(a) Inversely proportional to ' \( r \) ' but directly proportional to velocity ' \( v \) '
(b) Directly proportional to both radius ' \( r \) ' and velocity ' \( v \) '
(c) Inversely proportional to both radius ' \( r \) ' and velocity ' \( v \) '
(d) Directly proportional to ' \( r \) ' but inversely proportional to 'v'
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