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NEET Medium

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

$r^5$

$r^2$

$r^3$

$r^4$

Step-by-Step Solution

Sol. $\text{Power} = 6\pi\eta r V_T \cdot V_T = 6\pi\eta r V_T^2$

$V_T \propto r^2$

$\Rightarrow \text{Power} \propto r^5$

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