Concepts Of Physics MCQ Edition [Volume 1]PhysicsFluid Mechanics
A solid is floating in a liquid in a partially dipped state.
Options
- AThe liquid exerts a buoyant force on the solid which equals the solid's weight.
- BThe solid exerts a force on the liquid equal to its weight.
- CThe weight of the submerged part of the solid equals the weight of the displaced liquid.
- DThe weight of the displaced liquid is equal to the weight of the solid.
Correct answer
D. The weight of the displaced liquid is equal to the weight of the solid.
Step-by-step solution
For a solid floating in a liquid, the system is in equilibrium. The upward buoyant force exerted by the liquid on the solid balances the downward weight of the solid. Hence, the buoyant force equals the weight of the solid. According to Newton's third law of motion, the solid exerts an equal and opposite force on the liquid. Since the buoyant force equals the weight of the solid, the solid exerts a downward force on the liquid equal to its weight. According to Archimedes' principle, the buoyant force is equal to th