Consider the following two statements and identify the correct cho | Filo

Class 9

Science

Physics

Gravitation

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Consider the following two statements and identify the correct choice.
A: When a body floats in a liquid, it displaces the liquid whose weight is equal to its own weight.
B: When a body sinks in a liquid, it displaces the liquid whose volume is equal to its own volume.

1. A is true but B is false
2. Both A and B are true
3. A is false but B is true
4. Both A and B are false.
Solution: Displacement is pushing an object out of the way and taking its place when it is dipped in a fluid. When a body sinks in a liquid, it displaces an amount of fluid equal to its own volume. When a body floats in a liquid, it displaces an amount of fluid equal to its own weight.
Hence according to Archimedes' principle, which is a physical law of buoyancy, amount of fluid displaced is directly related to its volume. The principle states that any body completely or partially submerged in a liquid is acted upon by a buoyant force, the magnitude of which is equal to the weight of the fluid displaced by the body.
Thus, the correct answer is option B.
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