Questions in Mechanical Properties of Fluids

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	Radius of an air bubble at the bottom of the lake is r and it becomes 2r when the air bubbles rises to the top surface of the lake. If P cm of water be the atmospheric pressure, then the depth of the lake is
	An ice berg of density $900 Kg/m^3$ is floating in water of density $1000 Kg/m^3$. The percentage of volume of ice-cube outside the water is
	A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = $600 Kg/m^3$)
	A hemispherical bowl just floats without sinking in a liquid of density $1.2 \times 10^3 kg/m^3$. If outer diameter and the density of the bowl are $1 m$ and $2 \times 10^4 kg/m^3$ respectively, then the inner diameter of the bowl will be
	In making an alloy, a substance of specific gravity ${{s}_{1}}$ and mass ${{m}_{1}}$ is mixed with another substance of specific gravity ${{s}_{2}}$ and mass ${{m}_{2}}$; then the specific gravity of the alloy is
	A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 for this sphere to float with its entire volume submerged under water. Ratio of mass of concrete to mass of sawdust will be
	A metallic block of density $5 gm/cm^3$ and having dimensions $5 cm \times 5 cm \times 5 cm$ is weighed in water. Its apparent weight will be
	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
	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
	A sample of metal weighs 210 gm in air, 180 gm in water and 120 gm in liquid. Then relative density (RD) of

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