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A sphere of mass m and radius r is proje...

A sphere of mass m and radius r is projected in a gravity free space with speed v. If coefficient of viscosity of the medium in which it moves is `1/(6pi)` , the distance travelled by the body before it stops is

A

`(mv)/(2r)`

B

`(mv)/(2r)`

C

`(mv)/(r)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
The only force acting on the body is the viscous force
Here, `m(vdv)/(dx) = -6 pi eta rv = -rv`
`rArr underset(v) overset(0)int mdv = underset(0)overset(x)int - rdx rArr x = (mv)/(r)`
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