From the given diagram, what is the velocity \(v_3?\)
1. \(4\) m/s
2. \(3\) m/s
3. \(1\) m/s
4. \(2\) m/s
Water flows through a frictionless tube with a varying cross-section as shown in the figure. Variation of pressure P at point x along the axis is roughly given by:
1. | 2. | ||
3. | 4. |
The speed of flow past the lower surface of a wing of an aeroplane is \(50\) m/s. What speed of flow over the upper surface will give a dynamic lift of \(1000\) Pa? (density of air \(1.3\) kg/m3)
1. \(25.55\) m/s
2. \(63.55\) m/s
3. \(13.25\) m/s
4. \(6.35\) m/s
If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are same, then the angle of contact is:
1. | 90° | 2. | 30° |
3. | 45° | 4. | 0° |
A beaker full of water is placed on a spring balance. If we put our finger in water without touching the beaker, how will the reading of the balance change? [Take ]
1. Increase
2. Decrease
3. Remain the same
4. Will be halved
There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of four different liquids P, Q, R, and S such that their densities are , then pressure at the base of vessel will be:
1. | 2. | ||
3. | 4. | Data is insufficient to predict the relation |
When a man sits on a boat of length 2 m and breadth 1 m floating on a lake, the boat sinks by 2 cm. The mass of the man is:
1. 25 kg
2. 40 kg
3. 60 kg
4. 80 kg
A large open tank with a square hole of side \(0.1\) cm in the wall at a depth of \(0.2\) m from the top is completely filled with a liquid. The rate of flow of liquid (in /s) through the hole will be:
1. | \(1\) | 2. | \(2\) |
3. | \(3\) | 4. | \(4\) |
The relative velocity of two adjacent layers of a liquid is \(6\) 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. \(600\)
A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:
1. | The maximum force on the base will be for the vessel \(C.\) |
2. | The maximum force on the base will be for the vessel \(B.\) |
3. | The maximum force on the base will be for the vessel \(A.\) |
4. | Force on the base will be equal for all the vessels. |