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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 figure. If the mass of the sphere is m then the tension in the string is given by,

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Important Questions on Fluid Mechanics

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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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Two solids A and B float in water. 'A' floats with half of its volume immersed 'B' floats with 2/3 of its volume immersed. Compare the densities of A and B
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The fraction of floating object of volume V0 and density d0 above the surface of a liquid of density d will be
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Density of the ice is ρ and that of water is σ. What will be the decrease in volume when a mass M of ice melts.
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The reading of a spring balance when a block is suspended from it in air is 60 N. This reading is changed to 40 N when the block is fully submerged in water. The specific gravity of the block must be:
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A block of steel of size 5 cm×5 cm×5 cm is weighed in water. If the relative density of steel is 7, then, its apparent weight is
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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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In order that a floating object be in a stable equilibrium, its centre of buoyancy should be _____.