A small sphere falls from rest in a viscous liquid. Due to friction...

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A small sphere falls from rest in a viscous liquid. Due to friction heat is produced. What is the
\( \mathrm{P} \) relation between the rate of production of heat and

W radius of the sphere at terminal velocity.
(1) \( \frac{d Q}{d t} \propto r^{2} \)
(2) \( \frac{\mathrm{dQ}}{\mathrm{dt}} \propto \mathrm{r}^{5} \)
(3) \( \frac{\mathrm{dQ}}{\mathrm{dt}} \propto \mathrm{r} \)
(4) None of these
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