Question

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)`
Select the correct statement (s). Soon after placing the ice ball in left vessel.
A. The volume of water flowing to the right vessel is 25cc.
B. The volume of water flowing to the right vessel is 50cc
C. The ice ball is resting on the bottom of vessel.
D. The ice ball is floating on the water surface.

Answer 1

Correct Answer - A::C
Half immersed `=50cc` displaced water. So 25cc rise in left and 25cc rise in right according to archemedies principle, buoyant force is equal to weight of displaced fluid, here, is equal to weight of 50cc water and if is less than the w.r.t. of 100cc ice ball, so, the ball cannot float.