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A container filled with viscous liquid is moving vertically downwards with constant speed `3v_0`. At the instant shown, a sphere of radius `r` is moving vertically downwards (in liquid) has speed `v_0`. The coefficient of viscosity is `eta`. There is no relative motion between the liquid and the container. Then at the shoen instant, The magnitude of viscous force acting on sphere is

A

`6pietarv_0`

B

`12pietarv_0`

C

`18pietarv_0`

D

`24pietarv_0`

Text Solution

Verified by Experts

The correct Answer is:
B
Relative to liquid, the velocity of sphere is `2v_0` upwards.
Viscous force of sphere`=6pietar2v_0` downward
`=12pietarv_0` downward
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