Q. No.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.
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. \(2~\text{m/s}\)
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. | \(0^\circ\) |
Given below are two statements:
| Statement I: | Two bodies of different masses, shapes, and sizes may experience the same thrust when their volumes inside a fluid are equal. |
| Statement II: | A soft plastic bag weighs the same when empty or when filled with air at atmospheric pressure. |
| 1. | Only Statement I is True. |
| 2. | Only Statement II is True. |
| 3. | Both Statement I and Statement II are True. |
| 4. | Both Statement I and Statement II are False. |
1. \(25~\text{kg}\)
2. \(40~\text{kg}\)
3. \(60~\text{kg}\)
4. \(80~\text{kg}\)
The relative velocity of two adjacent layers of a liquid is \(6~\text{cm/s}\) and the perpendicular distance between layers is \(0.1~\text{mm}.\) The velocity gradient for liquid (in per second) is:
1. \(6\)
2. \(0.6\)
3. \(0.06\)
4. \(600\)
1. \(3.5 ~\text N\)
2. \(4.0 ~\text N\)
3. \(2.5 ~\text N\)
4. \(3.0 ~\text N\)
A capillary tube of radius \(r\) is immersed in water and water rises in it to a height \(h.\) The mass of the water in the capillary is \(5\) g. Another capillary tube of radius \(2r\) is immersed in water. The mass of water that will rise in this tube is:
| 1. | \(5.0\) g | 2. | \(10.0\) g |
| 3. | \(20.0\) g | 4. | \(2.5\) g |
In a horizontal pipe of a non-uniform cross-section, water flows with a velocity of \(1~\text{ms}^{-1}\) at a point where the diameter of the pipe is \(20 ~\text{cm}.\) The velocity of water \((\text{ms}^{-1})\) at a point where the diameter of the pipe is \(5~\text{cm}\) is:
1. \(8\)
2. \(16\)
3. \(24\)
4. \(32\)
The cylindrical tube of a spray pump has a cross-section of \(8.0\) cm2 one end of which has \(40\) fine holes each of diameter \(1.0\) mm. If the liquid flow inside the tube is \(1.5\) m-min–1, the speed of ejection of the liquid through the holes is:
1. \(0.64\) ms-1
2. \(0.74\) ms-1
3. \(0.54\) ms-1
4. \(0.84\) ms-1
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