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Two small spheres of radii r and 2r fall...

Two small spheres of radii r and 2r fall through a viscous liquid with the same constant speed. The viscous forces experienced by them are in the ratio ………….. .

A

`1:2`

B

`2:1`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
A
According to stoke.s law , the viscous force
`F prop eta av implies F_1 = 6 pi eta a.v " " r=a `
`F_2 = 6 pi eta 2 av`
`(F_1)/(F_2) = (6pi eta av)/(6pieta(2a)v) =1/2`
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