Q. No.From the given diagram, what is the velocity \(v_3?\)
1. \(4~\text{m/s}\)
2. \(3~\text{m/s}\)
3. \(1~\text{m/s}\)
4. \(2~\text{m/s}\)
1. \(4~\text{m/s}\)
2. \(3~\text{m/s}\)
3. \(1~\text{m/s}\)
4. \(2~\text{m/s}\)
From the given diagram, the speed with which water leaves the tube B of small diameter is-
| 1. | \(\sqrt{2 \left(gh\right)_{1}}\) | 2. | \(\sqrt{2 \left(gh\right)_{2}}\) |
| 3. | \(\sqrt{2 g \left(h_{1} + h_{2}\right)}\) | 4. | \(\sqrt{2 g \left(h_{2} - h_{1}\right)}\) |
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. |  |
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 |
The water flows through a frictionless tube with a varying cross-section as shown in the figure. The variation of pressure \(P\) at the point \(x\) along the axis is roughly given by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Two soap bubbles are connected by a tube as shown in the figure. Which of the following statement is true?
| 1. | The volume of A will increase. | 2. | The volume of A will remain constant. |
| 3. | The volume of B will increase. | 4. | The volume of B will decrease. |
Small droplets of liquid are usually more spherical in shape than the larger drops of the same liquid because:
| 1. | the force of surface tension is equal and opposite to the force of gravity. |
| 2. | the force of surface tension predominates the force of gravity. |
| 3. | the force of gravity predominates the force of surface tension. |
| 4. | the force of gravity and the force of surface tension act in the same direction and are equal. |
The speed of flow past the lower surface of a wing of an airplane is \(50~\text{m/s}.\) What speed of flow over the upper surface will give a dynamic lift of \(1000~\text{Pa}?\)
(density of air \(1.3~\text{kg/m}^3\) )
1. \(25.55~\text{m/s}\)
2. \(63.55~\text{m/s}\)
3. \(13.25~\text{m/s}\)
4. \(6.35~\text{m/s}\)
If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are the same, then the angle of contact is:
| 1. | \(90^\circ\) | 2. | \(30^\circ\) |
| 3. | \(45^\circ\) | 4. | \(0^\circ\) |
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