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Chapter 10: Q4Q (page 260)

An ice cube floats in a glass of water filled to the brim. What can you say about the density of ice? As the ice melts, will the water overflow? Explain

Short Answer

Expert verified

The density of ice is less than that of water.

The water level will remain the same as the ice melts.

Step by step solution

01

Understanding the Archimedes principle

If a body is immersed in a container filled with a liquid, some amount of liquid will be displaced. The body will also experience an upward force from the liquid, and that force will be equal to the weight of the displaced liquid.

02

Explanation of the situation

Initially, when placing the ice cube on the water surface, some amount of water is displaced to balance the weight of the ice cube. Ice is the crystalline structure of water, having large spaces between the molecules. Since the ice floats on the water's surface, the density of ice is lower than that of the water.

When the ice melts, since there is already water displaced equal to the weight of the ice, there will be no change in the water level.

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