NEET · Physics · STD 11 - 9.1 fluid mechanics
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
- A \(r^3\)
- B \(\;\)\(r^2\)
- C \(r^4\)
- D \(\;\)\(r^5\)
Answer & Solution
Correct Answer
(D) \(\;\)\(r^5\)
Step-by-step Solution
Detailed explanation
The viscous drag force, \(F = 6\pi \eta rv;\) \(where\,v = terminal\,velocity\)
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