A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g/3, the fraction of volume immersed in the liquid will be
(1)
(2)
(3)
(4)
A silver ingot weighing 2.1 kg is held by a string so as to be completely immersed in a liquid of relative density 0.8. The relative density of silver is 10.5. The tension in the string in kg-wt is
(1) 1.6
(2) 1.94
(3) 3.1
(4) 5.25
Two solids A and B float in water. It is observed that A floats with half its volume immersed and B floats with 2/3 of its volume immersed. Compare the densities of A and B
(1) 4:3
(2) 2:3
(3) 3:4
(4) 1:3
The fraction of a floating object of volume and density above the surface of a liquid of density d will be
(1)
(2)
(3)
(d)
Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by:
(1) Bernoulli
(2) Archimedes
(3) Boyle
(4) Pascal
A body is just floating on the surface of a liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. What will happen to the body ?
(1) It will slowly come back to its earlier position
(2) It will remain submerged, where it is left
(3) It will sink
(4) It will come out violently
A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring
(1) Increases
(2) Decreases
(3) Remains unchanged
(4) None of these
A solid sphere of density ( > 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m, then the tension in the string is given by:
1.
2.
3.
4.
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