The Physics of Ice Melting:Water Level Changes

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When ice melts in a beaker of water, the water level remains unchanged due to the principle of buoyancy, as the volume of water displaced by the ice equals the volume of water produced by the melting ice. If a coin is placed above the ice, it will remain above the water level since the melting ice does not affect the overall water level. Introducing an air cavity within the ice alters the scenario, as the volume of water displaced will decrease, leading to a lower water level once the ice melts. If a miscible liquid is trapped inside the cavity, the final water level will depend on the volume of that liquid and its interaction with the water. Understanding these principles highlights the relationship between displacement and volume changes in various scenarios.
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source:british physics olympiad
:cool: a beaker of water has a piece of ice floating on its surface.When the ice melts,show that (by logic or by equations)
1.that the water level remains unchanged.
2.If a coin was initially kept above the ice block what chang will be there in answer to 1?
:-p 3.if the ice piece initially had an air cavity inside it how will the answer change?
:-p 4.if there is a miscible liquid TRAPPED inside the cavity then what will happen to the level of the water?:wink:
 
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Think about the volume of water that was displaced before the ice melts, and the volume of water that was added after the ice melts (no more displacement).

Once you figure this out, all the other situations are just variations on the simple theme.
 
This has been answered elesewhere. Here's a diagram for Part 1:
PF060917ice-water.gif
 

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