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Q.

A small sphere of radius r falls from rest in a viscous liquid. Due to friction, heat is produced. Then the rate of production of heat at terminal velocity related to radius of sphere as 

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a

Inversely proportional to r

b

Inversely proportional to r5

c

Proportional to r

d

Proportional to r5 

answer is A.

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Detailed Solution

VT=2r2g9η(ρs−ρL) & Fv=6πηrVT
∴dqdt=FVT=(6πηrvT)VT=6πηrVT2∴dqdtαr5

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