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A student heats a beaker containing ice and water. He measures the temperature of the content of the beaker as a function of lime. Which of the following would correctly represent the result ? Justify your choice .

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Figure (b) would correctly represent the result. Because when heat is provided to the mixture of water and ice at `0^(@)C` , the ice absorbs this heat and converts it into a water at `0^(@)C` . During this period, there is no rise in temperature. On further heating, the temperature starts rising.
This is because , in ice (solid), the particles attract one another with strong forces. The heat which we supply to ice during melting is all used up to overcome the forces of attraction between ice particles, so that they become loose and form liquid water.
This heat does not increase the kinetic energy of particles and hence no rise in temperature takes place during the melting of ice. When all the ice has melted forming water, further heating increases the kinetic enregy of water, due to which the temperature of water starts rising sharply.
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