Two small spherical metal balls, having equal masses, are made from materials of densities \(\rho_1\) and \(\rho_2\) such that 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 and whose density is \(0.1\). The ratio of their terminal velocities would be:
1. | 2. | ||
3. | 4. |
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 |
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 |
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 |
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. | ![]() |
1. | \(r^3\) | 2. | \(r^2\) |
3. | \(r^5\) | 4. | \(r^4\) |