Question
Question: Three pieces of ice initially float in three different containers upto the same height h, as shown. ...
Three pieces of ice initially float in three different containers upto the same height h, as shown. Ice piece in container I is uniform, with cavity in II and with a metal piece inside in III. If levels are h1, h2 and h3 when ice fully melts in three containers respectively then:
A
h1 =h2 = h3
B
h1>h2>h3
C
h1 = h2>h3
D
h1>h2=h
Answer
h1 = h2>h3
Explanation
Solution
In I and II, the weight of the displaced water is equal to that of
the ice, the level of the water will not change after the ice
melts. In III, volume of the submerged portion of the ice with
the metal is greater than the sum of the volumes of the metal
and the water produced by the melting ice. Therefore the level
of the water will drop