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
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 |
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
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° |
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
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. |