Question

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.

• A. A is true but B is false
• B. Both A and B are true
• C. A is false but B is true
• D. Both A and B are false.

Answer 1

Answer: (B)

Both A and B are true

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, the 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.