A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water ?
1. V/2
2. V/3
3. V/4
4. V
A ball whose density is falls into water from a height of 9 cm . To what depth does the ball sink
1. 9 cm
2. 6 cm
3. 4.5 cm
4. 2.25 cm
Two solids A and B float in water. It is observed that A floats with of its body immersed in water and B floats with of its volume above the water level. The ratio of the density of A to that of B is
1. 4 : 3
2. 2 : 3
3. 3 : 4
4. 1 : 2
A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water?
1. | It will remain unchanged |
2. | It will rise |
3. | It will fall |
4. | First it will first rise and then fall |
Two pieces of metal when immersed in a liquid have equal upthrust on them; then
1. Both pieces must have equal weights
2. Both pieces must have equal densities
3. Both pieces must have equal volumes
4. Both are floating to the same depth
A candle of diameter \(d\) is floating on a liquid in a cylindrical container of diameter \(D(D>>d)\) as shown in the figure. If it is burning at the rate of \(2~\text{cm/hour}\) then the top of the candle will:
1. | Remain at the same height |
2. | Fall at the rate of \(1~\text{cm/hour}\) |
3. | Fall at the rate of \(2~\text{cm/hour}\) |
4. | Go up at the rate of \(1~\text{cm/hour}\) |
Construction of submarines is based on
1. Archimedes’ principle
2. Bernoulli’s theorem
3. Pascal’s law
4. Newton’s laws
In which one of the following cases will the liquid flow in a pipe be most streamlined ?
1. Liquid of high viscosity and high density flowing through a pipe of small radius
2. Liquid of high viscosity and low density flowing through a pipe of small radius
3. Liquid of low viscosity and low density flowing through a pipe of large radius
4. Liquid of low viscosity and high density flowing through a pipe of large radius
Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm diameter is -
1. 4 times that in the other pipe
2. 3 times that in the other pipe
3. 2 times that in the other pipe
4. 6 times that in the other pipe
An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is
1. 3.0 m/s
2. 1.5 m/s
3. 1.0 m/s
4. 2.25 m/s