Questions in Mechanical Properties of Fluids

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	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
	The fraction of a floating object of volume ${{V}_{0}}$ and density ${{d}_{0}}$ above the surface of a liquid of density d will be
	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
	A block of steel of size $5 cm \times 5 cm \times 5 cm$ is weighed in water. If the relative density of steel is 7, its apparent weight is
	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
	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
	A solid sphere of density $\eta ( > 1)$ 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
	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
	A rectangular block is $5 cm \times 5 cm \times 10cm$ in size. The block is floating in water with 5 cm side vertical. If it floats with 10 cm side vertical, what change will occur in the level of water?
	A ball whose density is $0.4 \times 10^3 kg/m^3$ falls into water from a height of 9 cm . To what depth does the ball sink

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