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An ice ball has a metal piece embedded into it. The temperature of the ball is `-theta^(@)C` and it contains mass M of ice. When placed in a large tub containing water at `0^(@)C`, it sinks. Assume that the water in immediate contact with the ice ball freezes and thereby size of the ball grows. What is the maximum possible mass of the metal piece so that the ball can eventually begin to float. Densities of ice, water and metal are `sigma, rho` and d respectively. Specific heat capacity of ice is s and its specific latent heat is L. Neglect the heat capacity of the metal piece.

Answer» Correct Answer - `(d)/(sigma)((rho-sigma))/((d-rho)) [1+(s theta)/(L)]`


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