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A smooth spherical ball of radius 1cm an...

A smooth spherical ball of radius `1cm` and density `4xx10^(3)kg//m^(3)` is dropped gently in a large container containing viscous liquid of density `2xx10^(3)kg//m^(3)`, and `eta=0.1 N-s//m^(2)`. The distance moved by the ball in `t=0.1sec` after it attains terminal velocity is

A

`(4)/(5)m` up

B

`(4)/(9)m` up

C

`(2)/(3)m` down

D

`(4)/(9)m` down

Text Solution

Verified by Experts

Once the body acquire the terminal velocity it will have uniform motion.
`v_(t)=(2)/(9)(r^(2))/(eta)[(rho-sigma)g]`, down
`v_(t)=(40)/(9)m//s` down
Distance travelled `=(40)/(9)xx0.1=(4)/(9)m`
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