A piece of ice is gently placed on the surface of water filled in glass tumbler, so the water rises to the brim. What will happen to the level of water when the ice melts? Will the water overflow? If not, explain with reason.

Q. A piece of ice is gently placed on the surface of water filled in glass tumbler, so the water rises to the brim. What will happen to the level of water when the ice melts? Will the water overflow? If not, explain with reason.
Ans. Since ice floats in water, its weight is equal to the weight of displaced water. Suppose ice weighs m gf, then the weight of displaced water will also be m gf. When the ice melts, m gf of water is obtained which is equal to the weight of displaced water so there will be no change in the level of water.

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