Question

A block of ice with a lead shot embedded in it is floating on water contained in a vessel. The temperature of the system is maintained at $0^{\circ }$ as the ice melts. When the ice melts completely the level of water in the vessel rises.
A) True
B) False

Answer 1

Hint: In summers we have always done this in our homes that we put the water of bottle which is completely filled in the freezer and when we take out the freeze bottle, we noticed that bottle is cracked and deformed this is due to the fact that ice took more space than water.

Complete step by step answer:
Lead is a very dense material. Lead shot has less surface area than the ice. So, suppose if there would be no ice the water displaced by the lead would be less as compared to the water displaced when the lead is embedded in the ice, as ice has more surface area than lead so it will displace more water. When the ice melts the surface area of the ice would be gone and only lead will remain which would sink in the water, as there would be no surface area of the ice the water displaced by the ice cube will not be displaced and there would be a reduction in the level of the water.

Hence, Option “B” is correct. When the ice melts completely the level of water in the vessel falls.

Note:
Here in the question we have to use the concept of Archimedes principle along with our imagination. Here, the density of lead is far greater than the density of ice and according to the formula Density = Mass/Volume the denser an object is the less volume it will take. So, when a material with higher density (lead) is embedded in a material with lower density (ice) the volume of the combination of two objects (lead and ice) would be greater than the volume of a single denser material (lead).