A piece of ice is floating in a beaker containing water. When whole of...
After the melting of ice, the level of water remains the same because the total volume of the melted ice is equal to the volume of floating ice.
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A piece of ice is floating in a beaker containing water. When whole of...
When ice is floating in beaker then ice covered a piece of space .after sometime when ice is melt then water covered a piece of space so those are same.
A piece of ice is floating in a beaker containing water. When whole of...
Explanation:
When a piece of ice floats in water and melts, the level of water in the beaker will remain the same. This can be explained by Archimedes' principle and the concept of density.
Archimedes' Principle:
Archimedes' principle states that when an object is submerged in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the object.
Density:
The density of a substance is defined as its mass per unit volume. It can be calculated by dividing the mass of the substance by its volume.
Now, let's understand why the level of water remains the same when the ice melts.
Initial State:
- The ice is floating in water, partially submerged.
- The weight of the ice is equal to the weight of the water displaced by the submerged portion of the ice.
When the Ice Melts:
- When the ice melts, it changes from a solid state to a liquid state.
- The density of ice is less than the density of water. Therefore, the volume occupied by the ice when it is in solid state is less than the volume occupied by the same mass of water.
- As the ice melts, it occupies the same volume as the water it was displacing before melting.
- The mass of the ice is transferred to the water, increasing its mass but not its volume.
- The weight of the water remains the same because the mass of the ice that has melted is balanced by the increase in mass of the water.
- Since the weight of the water has not changed, the level of water in the beaker remains the same.
To Summarize:
- The ice displaces its own weight in water when it is in solid state.
- When the ice melts, it occupies the same volume as the water it was displacing.
- The weight of the water remains the same as the ice melts and transfers its mass to the water.
- Therefore, the level of water in the beaker remains the same.