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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 propotional to `v`

B

directly propotional to both radius `R` and velocity `v`

C

inversely propotional to both radius `R` and velocity `v`

D

inversely propotional to `R` but directly propotional to `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`
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