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A solid floats in a liquid of different material. Carry out an analysis to see whether the level of liquid in the container will rise or fall when the solid melts.

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Let M = Mass of the floating solid 

ρ1 = density of liquid formed by the melting of the solid

ρ2 = density of the liquid in which the solid is floating

The mass of liquid displaced by the solid is M. Hence, the volume of liquid displaced is M/ρ1.

When the solid melts, the volume occupied by it is M/ρ1. Hence, the level of liquid in container will rise or fall according as

There will be no change in the level if  ρ1 ρ2 . In case of ice floating in water ρ1 = ρ2 and hence, the level of water remains unchanged when ice melts.

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