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
(a) 9 cm
(b) 6 cm
(c) 4.5 cm
(d) 2.25 cm
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
The velocity of kerosene oil in a horizontal pipe is 5 m/s. If , then the velocity head of oil will be:
1. 1.25 m
2. 12.5 m
3. 0.125 m
4. 125 m