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Q. No.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: Â Stokes' Law |
 56%
Level 3: 35%-60%
NEET - 2018
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A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by:
| 1. | curve A | 2. | curve B |
| 3. | curve C | 4. | curve D |
Subtopic: Â Stokes' Law |
 81%
Level 1: 80%+
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A steel ball is dropped in a viscous liquid. The distance-time graph of the steel ball in the liquid is shown below. The terminal velocity of the ball is closest to:
1. \(0.26~\text{m/s} \)
2. \(0.33~\text{m/s} \)
3. \(0.45~\text{m/s} \)
4. \(0.21~\text{m/s} \)
1. \(0.26~\text{m/s} \)
2. \(0.33~\text{m/s} \)
3. \(0.45~\text{m/s} \)
4. \(0.21~\text{m/s} \)
Subtopic: Â Stokes' Law |
Level 3: 35%-60%
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A small spherical ball of radius \(0.1~\text{mm}\) and density \(10^{4}~\text{kg-m}^{-3}\) falls freely under gravity through a distance of \(h\) before entering a tank of water. If after entering the water, the velocity of the ball does not change and it continues to fall with the same constant velocity inside the water, then the value of \(h\) will be:
(given \(g=10~\text{m/s}^2,\) the viscosity of water \(=1.0\times10^{-5}~\text{N-sm}^{-2}\) )
1. \(15~\text m\)
2. \(25~\text m\)
3. \(20~\text m\)
4. \(10~\text m\)
(given \(g=10~\text{m/s}^2,\) the viscosity of water \(=1.0\times10^{-5}~\text{N-sm}^{-2}\) )
1. \(15~\text m\)
2. \(25~\text m\)
3. \(20~\text m\)
4. \(10~\text m\)
Subtopic: Â Stokes' Law |
 73%
Level 2: 60%+
JEE
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