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Change of State

Question

A piece of ice floating in a glass of water melts, but the level of water in glass does not change. Give reason.
Ice contracts on melting.
Ice expands on melting
Ice has same density as that of water
Ice has density less than that of water

A

Ice expands on melting

B

Ice contracts on melting.

C

Ice has same density as that of water

D

Ice has density less than that of water

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Solution

Verified by Toppr

It is true because in both the cases weight of water displaced = weight of ice and weight of ice before and after melting is the same.
This follows from Archimede's principle according to which a body floating in a liquid displaces weight of liquid equal to its own weight.
Water expands about 7% when it freezes, thats why it floats. But it displaces exaxctly its equivalent mass of water when it floats. When the ice melts there is no change in the amount of H2O in the vessel so the water level doesnt rise.
The level does not change because the ice is nearly at neutral bouyancy or barely floating to begin with, and it is colder.

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