A U tube is partially filled with water. Oil which is immiscible in water is poured into one side until the water rises by 25 cm on the other side. If the oil level is 12.5 cm higher than the water level, then the relative density of the oil is:
1. 0.3
2. 0.5
3. 0.8
4. 1.2
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. \(\dfrac{P - P_{0}}{ρg} - \dfrac{4 T}{rρg}\)
2. \(\dfrac{P + P_{0}}{ρg} + \dfrac{2 T}{rρg}\)
3. \(\dfrac{P - P_{0}}{ρg} - \dfrac{2 T}{rρg}\)
4. \(\dfrac{P - P_{0}}{ρg} + \dfrac{2 T}{2 rρg}\)
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. | 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. |
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 \(0.1~\text{mm}.\) 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. | \(4\) |