A piece of ice with a cork in it is floating on water in a beaker. Will the level of water in the beaker change after complete melting of the ice?

Explanation

The level of water in the beaker will not change.
Let the density of water be `rho`, the weight of the piece of ice be W and the weight of the cork inside the piece of ice be w.
Total weight = (W + w) = weight of displaced water
`therefore" "` Volume of displaced water = `(W+w)/(rhog)`
Suppose the ice melts completely. In this case, the weight of water thus formed = W and the volume of that amount of water = `W/(rhog)`. In this situation, only the cork will float on water.
Weight of water displaced by the cork = weight of the the cork = w.
`therefore" "` Volume of water displaced by the cork = `w/(rhog)`
Total volume of water formed due to melting of ice and also due to the water displaced by the crok = `(W+w)/(rhog)`
Therefore, even after the ice melts completely, the level of water in the beaker does not change.