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A small sphere of radius ‘r’ falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity, is proportional to

a
r3
b
r2
c
r4
d
r5

detailed solution

Correct option is D

Viscous drag FD = 6πηrVT Also VT r2Rate of production of heat (Q) = Power dissipated= FD.VT Q = 6πηr(VT)2 ⇒ Q r x (r2)2

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