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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

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

Text Solution

Verified by Experts

The correct Answer is:
B
Retarding force acting on a ball falling into a viscous fluid
`F=6pietaRv`
where R=radius of ball
v = velocity of ball
and `eta` = coefficient of viscosity
`F prop R` and `F prop v`
Or in words, retarding force is directly proportional to both R and v.
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