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A glass beaker of mass 400 g floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is 500 cm3. What is the density of the material of the beaker?

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Important Questions on Fluid Mechanics

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Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g cm-3.  If the mass of the other is 48 g, its density in g cm-3 is
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A body of density d1 is counterpoised by Mg of weights of density d2 in air of density d. Then the true mass of the body is
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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)
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A hemispherical bowl just floats without sinking in a liquid of density 1.2×103 kg m-3. If outer diameter and the density of the bowl are 1 m and 2×104 kg m-3 respectively, then the inner diameter of the bowl will be
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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 2.4 and 0.3 respectively. For this sphere to float with its entire volume submerged under-water, the ratio of mass of concrete to mass of sawdust will be

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A solid sphere of density η(>1) times lighter than water is suspended in a water tank by a string tied to its base, as shown in the figure. If the mass of the sphere is m then the tension in the string is given by

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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?
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A ball whose density is 0.4×103 kg m-3 falls into water from a height of  9 cm. To what depth does the ball sink?