Statement-1 : One of the two identical container is empty and the other contains two ice cubes. Now both the containers are filled with water to same level as shown. Then both the containers shall weigh the same.Statement-2 : The weight of volume of water displaced by ice cube floating in water is equal to the weight of ice cube. Hence both the container in above situation shall weigh the same.
Question
Statement-1 : One of the two identical container is empty and the other contains two ice cubes. Now both the containers are filled with water to same level as shown. Then both the containers shall weigh the same.Statement-2 : The weight of volume of water displaced by ice cube floating in water is equal to the weight of ice cube. Hence both the container in above situation shall weigh the same.
Solution
The statement-1 and statement-2 are both correct. Here's why:
Step 1: Understanding the concept of buoyancy The principle of buoyancy, also known as Archimedes' principle, states that the buoyant force (or the upward force that keeps things afloat) on an object is equal to the weight of the fluid displaced by the object.
Step 2: Applying the principle to the ice cubes When the ice cubes are placed in the container, they displace a certain volume of water. The weight of this displaced water is equal to the weight of the ice cubes.
Step 3: Understanding the weight of the containers When both containers are filled to the same level, the container with the ice cubes has effectively the same amount of water plus the weight of the ice cubes. However, because the ice cubes displace their own weight in water, the overall weight of the container remains the same as the container without the ice cubes.
Therefore, both containers weigh the same. The weight of the ice cubes is offset by the weight of the water they displace.
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