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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 friction, 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^(4)`

C

`r^(2)`

D

`r^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`P = F_(V) . V^_(T), v_(T) prop r^(2), F_(v) porp rv_(T)`
`P prop r^(5)`
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