A Piece Of Ice, With A Stone Frozen Inside It, Is Floating In Water Contained In A Beaker. When The Ice Melts, The Level Of Water In The Beaker

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Question

A piece of ice, with a stone frozen inside it, is floating in water contained in a beaker. When the ice melts, the level of water in the beaker

Solution

Correct option is

Falls

 

Let the mass of ice be m1 and the mass of stone be m2. The mass of the displaced water is equal to . If  is the density of water, the volume of water displaced is

          

When the ice melts, additional volume of water obtained is . The stone sinks in water, and displaces a volume of water equal to its own volume, which is  is the density of stone. Thus the total volume of extra water is   

     

 V’ < V. Therefore, level of water in beaker decreases.  

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