Single correct option
Consider the following statements about buoyancy:
1. The buoyant force on a body equals the weight of the fluid displaced by it.
2. A body floats in a liquid if its density is greater than that of the liquid.
Which of the statements given above is/are correct?
1. The buoyant force on a body equals the weight of the fluid displaced by it.
2. A body floats in a liquid if its density is greater than that of the liquid.
Which of the statements given above is/are correct?
- A. 1 only
- B. 2 only
- C. Both 1 and 2
- D. Neither 1 nor 2
Show answer and solution
Answer: (A) 1 only
Archimedes' principle states that the upthrust equals the weight of the fluid displaced, so statement 1 is correct. A body floats only if its average density is less than that of the liquid; a denser body sinks because its weight exceeds the maximum buoyant force. Hence statement 2 is wrong. Ships float since their hollow shape lowers the average density.
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