A vertical \(\mathrm{U}\)-tube of uniform inner cross-section contains mercury in both its arms. A glycerin (density\(=1.3\) g/cm3) column of length \(10\) cm is introduced into one of its arms. Oil of density \(0.8\) g/cm3 is poured into the other arm until the upper surfaces of the oil and glycerin are at the same horizontal level. The length of the oil column is:
(density of mercury \(=13.6\) g/cm3)
1. \(10.4\) cm
2. \(8.2\) cm
3. \(7.2\) cm
4. \(9.6\) cm
In a capillary tube experiment, a vertical \(30~\text{cm}\) long capillary tube is dipped in water. The water rises up to a height of \(10~\text{cm}\) due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes:
1. \(10~\text{cm}\)
2. \(20~\text{cm}\)
3. \(30~\text{cm}\)
4. Zero
When two drops of water coalesce:
| I: | total surface area decreases. |
| II: | there is some rise in the temperature. |
Which of the following is correct?
| 1. | Both (I) and (II) are wrong statements. |
| 2. | (I) is True but (II) is False. |
| 3. | Both (I) and (II) are True and the two statements are independent of each other. |
| 4. | Both (I) and (II) are True and (I) is the cause of (II). |
A body is just floating on the surface of a liquid. The density of the body is the same as that of the liquid. The body is slightly pushed down. What will happen to the body?
| 1. | It will slowly come back to its earlier position |
| 2. | It will remain submerged, where it was left |
| 3. | It will sink |
| 4. | It will come out violently |
The diameter of a syringe is \(4~\text{mm}\) and the diameter of its nozzle (opening) is \(1~\text{mm}\). The syringe is placed on the table horizontally at a height of \(1.25~\text{m}\). If the piston is moved at a speed of \(0.5~\text{m/s}\), then considering the liquid in the syringe to be ideal, the horizontal range of liquid is: \(\left(g = 10~\text{m/s}^2 \right)\)
1. \(4~\text{m}\)
2. \(8~\text{m}\)
3. \(0.4~\text{m}\)
4. \(0.2~\text{m}\)
A water tank is kept at a height H above the ground and the tank contains depth H of water as shown. Find the maximum possible range of water current, if there exists a small hole on the sidewall of the tank.
| 1. | 2H | 2. | |
| 3. | 4. | H |
A metal block of area \(0.10~\text{m}^{2}\) is connected to a \(0.010~\text{kg}\) mass via a string that passes over an ideal pulley (considered massless and frictionless), as in the figure below. A liquid film with a thickness of \(0.30~\text{mm}\) is placed between the block and the table. When released the block moves to the right with a constant speed of \(0.085~\text{m/s}.\) The coefficient of viscosity of the liquid is:

1. \(4.45 \times 10^{-2}~\text{Pa-s}\)
2. \(4.45 \times 10^{-3}~\text{Pa-s}\)
3. \(3.45 \times 10^{-2}~\text{Pa-s}\)
4. \(3.45 \times 10^{-3}~\text{Pa-s}\)
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. | ![]() |
A liquid drop at temperature T, isolated from its surroundings, breaks into a number of droplets. The temperature of the droplets will be–
| 1. | equal to T |
| 2. | greater than T |
| 3. | less than T |
| 4. | either (1), (2) or (3) depending on the surface tension of the liquid. |
If the capillary experiment is performed in a vacuum, then for a liquid the capillary will:
| 1. | rise | 2. | remain the same |
| 3. | fall | 4. | rise to the top |