When a solid body is fully immersed in a liquid, the volume of the dis...
According to Archimedes’ principle, the volume of liquid displaced is equal to the volume of the solid.
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When a solid body is fully immersed in a liquid, the volume of the dis...
Answer:
When a solid body is fully immersed in a liquid, the volume of the displaced liquid is equal to the volume of the solid body. This is known as Archimedes' principle.
Archimedes' Principle:
Archimedes' principle states that when a body is fully or partially immersed in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. This buoyant force acts in the opposite direction to gravity.
Explanation:
When a solid body is immersed in a liquid, it displaces an amount of liquid equal to its own volume. This can be understood by considering the forces acting on the body.
1. Weight of the body: The weight of the body acts vertically downwards due to gravity.
2. Buoyant force: The buoyant force acts vertically upwards due to the displacement of the liquid by the body.
According to Archimedes' principle, the buoyant force is equal to the weight of the liquid displaced by the body. This means that the weight of the liquid displaced is equal to the weight of the body.
Since the weight of the body is equal to the weight of the displaced liquid, their volumes are also equal. Therefore, the volume of the displaced liquid is equal to the volume of the solid body.
Example:
Let's consider an example to illustrate this principle. Suppose we have a solid cube with a volume of 1 cubic meter. When we immerse this cube in a liquid, it will displace an equal volume of liquid, which is also 1 cubic meter. This means that the volume of the displaced liquid is equal to the volume of the solid cube.
Conclusion:
When a solid body is fully immersed in a liquid, the volume of the displaced liquid is equal to the volume of the solid body. This principle is known as Archimedes' principle and helps us understand the behavior of objects in fluids.
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