Correct option is C
Correct Answer: (c) Upthrust of water on a bottle is greater than the gravitational force acting on the bottle
Explanation:
- When an empty bottle is pushed underwater, the upthrust (buoyant force) exerted by the water on the bottle is greater than the gravitational force acting on it.
- This difference occurs because the bottle is filled with air, making it lighter and less dense than water.
- According to Archimedes' principle, the upward buoyant force is equal to the weight of the water displaced by the bottle.
- As a result, the bottle bounces back to the surface when released.
Other Options:
- Water does not exert force on an empty bottle: Incorrect, as water exerts an upthrust (buoyant force) on the bottle.
- Gravitational force on a bottle is equal to the buoyant force of the water: This equilibrium condition applies when an object is neutrally buoyant, but here, the upthrust is greater.
- Gravitational force acting on the bottle is greater than the upthrust of water: This would cause the bottle to sink, which does not happen in this case.
then the excess force required to take it away from the surface is:
The pressure inside the bubble equals at a
below the free surface of water in a container.
is: