An air bubble of radius r in water is at a certain depth below the water surface. If P is the pressure inside the bubble, then the depth below the water surface is: [\(P_{0}\) = Atmospheric pressure, \(\rho\) = Density of water, T = surface tension of water]
1. \(\frac{P - P_{0}}{ρg} - \frac{4 T}{rρg}\)
2. \(\frac{P + P_{0}}{ρg} + \frac{2 T}{rρg}\)
3. \(\frac{P - P_{0}}{ρg} - \frac{2 T}{rρg}\)
4. \(\frac{P - P_{0}}{ρg} + \frac{2 T}{2 rρg}\)
A block weighs 5 N in air and 4.5 N in a liquid of specific gravity 0.5. Its weight in water will be:
1. 3.5 N
2. 4.0 N
3. 2.5 N
4. 3.0 N
A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:
1. | Maximum force on the base will be for vessel C |
2. | Maximum force on the base will be for vessel B |
3. | Maximum force on the base will be for vessel A |
4. | Force on the base will be equal for all the vessels |
A liquid is filled in a container as shown in the figure. The force exerted by the liquid on the base of the container must be:
1. | Equal to the weight of the liquid |
2. | More than the weight of the liquid |
3. | Less than the weight of the liquid |
4. | More or less than the weight of the liquid |
The surface tension of a liquid is \(5\) N m-1. If a film is held on a ring of area \(0.02\) , then its total surface energy is:
1. \(3\times\) J
2. \(2\times\) J
3. \(3\times\) J
4. J
A liquid filled in a container has a plane meniscus. If is the angle of contact, then:
1. | \(\theta=0^\circ\) | 2. | \(\theta=90^\circ\) |
3. | \(\theta<0^\circ\) | 4. | \(\theta=180^\circ\) |
The relative velocity of two adjacent layers of a liquid is 6 cm/s and the perpendicular distance between layers is 0.1 mm. The velocity gradient for liquid (in per second) is:
1. | 6 | 2. | 0.6 |
3. | 0.06 | 4. | 600 |
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 property of surface tension of the liquid is due to:
1. | the gravitational force of attraction between the molecules. |
2. | the cohesive forces between the molecules. |
3. | the adhesive force between the molecules. |
4. | the formation of ionic bonds between the molecules. |