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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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Answer» Let `M=` Mass of the floating solid `rho_(2)`=density of liquid formed by the melting of the solid `rho_(1)`=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)/(rho_(1))`. When the solid melts, the volumes occupied by it is `(M)/(rho_(2))`. Hence the level in container will rise or fall according as `(M)/(rho_(2)) gt` or `lt(M)/(rho_(1))` i.e. `rho_(2)lt `or` gtrho_(1)` There will be no change in the level if `rho_(1)-rho_(2)`. In case of ice, floating in water `rho_(1)=rho_(2)` and hence, the level of water remains unchanged when ice melts. |
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