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Q. No.Consider following statements:
Choose the correct answer from the options given below:
1. (A), (D), (E) only
2. (A), (B), (C) only
3. (C), (D), (E) only
4. (B), (C), (D) only
| (A). | Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. |
| (B). | As the temperature of liquid rises, the coefficient of viscosity increases. |
| (C). | As the temperature of gas increases, the coefficient of viscosity increases. |
| (D). | The onset of turbulence is determined by Reynold's number. |
| (E). | In a steady flow two stream lines never intersect. |
Choose the correct answer from the options given below:
1. (A), (D), (E) only
2. (A), (B), (C) only
3. (C), (D), (E) only
4. (B), (C), (D) only
Subtopic: Properties of Fluids |
74%
Level 2: 60%+
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Given below are two statements:
| Assertion (A): | When toothpaste is pressed (squeezed), it follows Pascal’s law. |
| Reason (R): | When pressure is applied to a fluid, it is transmitted equally throughout the fluid in all directions and on the walls of the container. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Properties of Fluids |
83%
Level 1: 80%+
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If \(\rho\) is the density and \(\eta\) is the coefficient of viscosity of fluid which flows with a speed \(v\) in the pipe of diameter \(d,\) the correct formula for the Reynolds number \(R_e\) is:
1. \( \mathrm{R}_e=\frac{\eta \mathrm{d}}{\rho \mathrm{v}} \)
2. \(\mathrm{R}_{\mathrm{e}}=\frac{\rho \mathrm{v}}{\eta \mathrm{d}} \)
3. \( \mathrm{R}_e=\frac{\rho v d}{\eta} \)
4. \(R_e=\frac{\eta}{\rho v d}\)
1. \( \mathrm{R}_e=\frac{\eta \mathrm{d}}{\rho \mathrm{v}} \)
2. \(\mathrm{R}_{\mathrm{e}}=\frac{\rho \mathrm{v}}{\eta \mathrm{d}} \)
3. \( \mathrm{R}_e=\frac{\rho v d}{\eta} \)
4. \(R_e=\frac{\eta}{\rho v d}\)
Subtopic: Properties of Fluids |
85%
Level 1: 80%+
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Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes \(0.01 ~\text{cm}^3\) of oleic acid per \(\text{cm}^3\) of the solution. Then you make a thin film of this solution (monomolecular thickness) of area \(4~\text{cm}^2\) by considering \(100\) spherical drops of radius \(\left(\dfrac{3}{40 \pi}\right)^{\dfrac{1}{3}} \times 10^{-3}~ \text{cm} \). Then the thickness of oleic acid will be:
1. \(12\times10^{-14}~\text{m}\)
2. \(25\times10^{-14}~\text{m}\)
3. \(36\times10^{-14}~\text{m}\)
4. \(48\times10^{-14}~\text{m}\)
1. \(12\times10^{-14}~\text{m}\)
2. \(25\times10^{-14}~\text{m}\)
3. \(36\times10^{-14}~\text{m}\)
4. \(48\times10^{-14}~\text{m}\)
Subtopic: Properties of Fluids |
69%
Level 2: 60%+
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Two identical cylindrical vessels, each having a base area \(S,\) contain the same liquid of density \(d.\) The initial heights of the liquid in the two vessels are \(x_1\) and \(x_2,\) respectively. The vessels are connected at the bottom by a tube of negligible volume, allowing the liquid to flow freely until equilibrium is reached. The decrease in the gravitational potential energy of the liquid during this process is:
1. \( \dfrac{3}{4} g d S\left(x_2-x_1\right)^2 \)
2. \( \dfrac{1}{4} g d S\left(x_2-x_1\right)^2 \)
3. \(g d S\left(x_2^2-x_1^2\right) \)
4. \( g d S\left(x_2-x_1\right)^2\)
Subtopic: Properties of Fluids |
59%
Level 3: 35%-60%
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A long cylindrical vessel is half-filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of the vessel is \(5 ~\text{cm}\) and its rotational speed is \(2\) rotations per second, then the difference in the heights between the centre and the sides \(\text{(in cm),}\) will be
1. \(2.0\)
2. \(0.1\)
3. \(0.4\)
4. \(1.2\)
1. \(2.0\)
2. \(0.1\)
3. \(0.4\)
4. \(1.2\)
Subtopic: Properties of Fluids |
68%
Level 2: 60%+
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The top of a water tank is open to air and its water level is maintained. It is giving out \(0.74~\text{m}^3\) water per minute through a circular opening of \(2~\text{cm}\) radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to:
1. \(6.0~\text{m}\)
2. \(4.8~\text{m}\)
3. \(9.6~\text{m}\)
4. \(2.9~\text{m}\)
1. \(6.0~\text{m}\)
2. \(4.8~\text{m}\)
3. \(9.6~\text{m}\)
4. \(2.9~\text{m}\)
Subtopic: Properties of Fluids |
72%
Level 2: 60%+
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Q. No.
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