The viscous drag acting on a metal sphere of diameter \(1\) mm, falling through a fluid of viscosity \(0.8\) Pa-s with a velocity of \(2\) ms–1 is nearly equal to:
1. \(15\times 10^{-3}~\text{N}\)
2. \(30\times 10^{-3}~\text{N}\)
3. \(1.5\times 10^{-3}~\text{N}\)
4. \(20\times 10^{-3}~\text{N}\)
Subtopic:  Stokes' Law |
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The terminal velocity of a copper ball of radius \(5~\text{mm}\) falling through a tank of oil at room temperature is \(10~\text{cm}~\text{s}^{-1}\) . If the viscosity of oil at room temperature is \(0.9~\text{kg}~\text{m}^{-1}~\text{s}^{-1}\), the viscous drag force is:
1. \(8.48 \times10^{-3}\) N
2. \(8.48 \times10^{-5}\) N
3. \(4.23 \times10^{-3}\) N
4. \(4.23 \times10^{-6}\) N
Subtopic:  Stokes' Law |
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A small sphere of radius \(r\) falls from rest in a viscous liquid. As a result, heat is produced due to the viscous force. The rate of production of heat when the sphere attains its terminal velocity is proportional to:
1. \(r^3\) 2. \(r^2\)
3. \(r^5\) 4. \(r^4\)
Subtopic:  Stokes' Law |
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