In two identical communicating vessel we poured water (see picture). In one of them we put an ice ball of volume `V=100 cm^(3)` which gets exactly half immersed in the water. The density of water `rho_(w)=1000kg//m^(3)` the density of ice `rho_(i)=900kg//m^(3)`
After a long time, select the correct statement (s)

Options

A. If ice melts, the level of water in both vessel will rise.
B. If water freezes, such that ball's radius increase the level of water in both vessel will fall.
C. If ice melts, the level of water in left vessel will rise and level of water in right vessel will fall.
D. If water freeze such that ball radius increase, the level of water in left vessel will fall and level of water in right vessel will rise.

Answer

A, B

Explanation

(A) If ice melts then its excess volume outside the water will raise the water volume i.e. 50cc is displaced but 90cc will be the increase in volume of water by melting 100cc ice. (B) If water freezes then it happens around the central crystal so volume of ice ball will increase and it will take in surrounding water so, water level falls on both sides.