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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

`(2mv)/r`

C

`(mv)/r`

D

`(mv)/(4r)`

Text Solution

Verified by Experts

The correct Answer is:
C
The only force acting on the body is the viscous force
Here `F=-6pirv m(vdv)/(dx)=-rv`
`impliesint_(v)^(0)mdv=int_(0)^(x)-rdximpliesx=(mv)/r`
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