A glass of water contains ice cubes floating on it. When all ice melts the level of water in the glass

Explanation

Let Mg of ice be floating in water of density 1g/`cm^(3)`
Then from the law of floatation,`M=Vrho_(ice)=V_("im" rho "water")`
`therefore V_(im)Mcm^(3)to` (Volume of water displaced)…..(i)
Now, if the entire ice melts, water formed will have same mass M but the volume
`V_("formed")=(M)/(rho_("water"))=Mcm^(3)` ......(ii)
From (i) and (ii) volume of water displaced is equal to volume of water formed due to melting of ice. Therefore, the level of water remains unchanged.