A spherical water drop of radius r is falling with the terminal velocity. Assume that the entire work done against viscous force is dissipated in the form of heat. The rate of heat produced will be proportional to

1) r^2

2) r^3

3) r^4

4) r^5

Ans given is option 4.

Please give detailed explanation as I won't be able to understand concise answers.

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Solution

please read the question carefully!
it is given that entire work done against viscous force is appear as heat so power of viscous force will be equal to power of heat produced.

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please read the question carefully! it is given that entire work done against viscous force is appear as heat so power of viscous force will be equal to power of heat produced.

please read the question carefully!
it is given that entire work done against viscous force is appear as heat so power of viscous force will be equal to power of heat produced.