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Q. No.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 |
From NCERT
JEE
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Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density \(d\). The area of the base of both vessels is \(S\) but the height of liquid in one vessel is \(x_1\) and in the other, \(x_2\). when both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows one vessel to the other until it comes to equilibrium at a new height. The change in energy of the system in the process is:
1. \( \frac{3}{4} g d S\left(x_2-x_1\right)^2 \)
2. \( \frac{1}{4} g d S\left(x_2-x_1\right)^2 \)
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 |
50%
From NCERT
JEE
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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 |
84%
From NCERT
JEE
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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 |
80%
From NCERT
JEE
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