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A small sphere falls from rest in a visc...

A small sphere falls from rest in a viscous liquid. Due to frication, heat is produced. Find the relation between the rate of production of heat and the radius of the sphere at terminal velocity.

A

`r^(5)`

B

`r^(2)`

C

`r^(3)`

D

`r^(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Power =`6pi eta rV_(T).V_(T)=6pieta V_(T)^(2)`
`V_(T) prop r^(2)`
`implies` Power `prop r^(5)`
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