Two small spherical metal balls, having equal masses, are made from materials of densities \(\rho_1\) and \(\rho_2\) such that ρ1=8ρ2 and having radii of \(1\) mm and \(2\) mm, respectively. They are made to fall vertically (from rest) in a viscous medium whose coefficient of viscosity equals η and whose density is \(0.1\)ρ2. The ratio of their terminal velocities would be:

1. 7972 2. 1936
3. 3972 4. 7936



Subtopic:  Stokes' Law |
 82%
Level 1: 80%+
NEET - 2019

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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:  Stokes' Law |
 81%
Level 1: 80%+

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A small tiny water droplet is falling towards earth at a uniform speed of 1 cm/s. When 27 such identical droplets combine together to form a bigger drop, then with what uniform velocity will this bigger drop fall?

1. 27 cm/s

2. 9 cm/s

3. 3 cm/s

4. 81 cm/s
Subtopic:  Stokes' Law |
 73%
Level 2: 60%+

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If a small drop of water falls from rest through a large height h in air, then the final velocity is:

1. \(\propto \sqrt{\mathrm{h}}\)
2. \(\propto \mathrm{h} \)
3. \(\propto(1 / h)\)
4. Almost independent of h

Subtopic:  Stokes' Law |
 71%
Level 2: 60%+

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An iron sphere is dropped into a viscous liquid. Which of the following represents its acceleration \((a)\) versus time \((t)\) graph?

1. 2.
3. 4.
Subtopic:  Stokes' Law |
 55%
Level 3: 35%-60%

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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 |
 56%
Level 3: 35%-60%
NEET - 2018

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