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  • A cube of ice is floating in a liquid of relative density 1.25 contained in a beaker. When the ice melts, the level of the liquid in the beakerOption: 1

A cube of ice is floating in a liquid of relative density 1.25 contained in a beaker. When the ice melts, the level of the liquid in the beaker

Option: 1

rises
 


Option: 2

falls
 


Option: 3

remains unchanged
 


Option: 4

falls at first and then rises to the same height as before.


Answers (1)

best_answer

The density of the liquid is \mathrm{\rho=1.25 \mathrm{~g} \mathrm{~cm}^{-3}} which is higher than the density of water which is \mathrm{1.0 \mathrm{~g} \mathrm{~cm}^{-3}. } This means that for x grams of ice, the volume of the liquid displaced is \mathrm{x / \rho=x^{\prime}} (say). But x grams of ice, on melting, will produce \mathrm{x \mathrm{~cm}^3} of water. Since \mathrm{x>x^{\prime}}, the level of liquid will rise. The volume of the liquid displaced by ice cube is less than the volume of the water formed when ice melts. Hence the correct choice is (a).

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