A piece of ice is floating in a glass vessel filled with water. Then prove that level of water in the vessel remains unchanged after melting of ice.

Answer

A, C

Explanation

Let m be the mass of ice piece floating in water.
In equilibrium, weight of ice piece =upthrust
or, `mg=V_(i)rho_(w)g`
or, `V_(i)=(m)/(rho_(w))` …(i)
Here,`V_(i)` is the volume of ice piece immersed in water.
When the ice melts, Let `V `be the volume of water formed by m mass of ice. Then,
`V=(m)/(rho_(w))` ...(ii)
From Eqs.(i) and (ii) we see that
`V_(i)=V`
Hence, the level will not change.