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Q.

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:

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a

r3

b

r2

c

r5

d

r4

answer is C.

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Detailed Solution

Rate of heat produced dQdt=Fv×vT ∵vT=2r29η(ρ-σ)g∞r2 =6πηrvT×vT ⇒dQdt∞rvT2∞r5
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