Q1: An open container filled with water is moved vertically upward with a uniform linear acceleration. The pressure at its bottom will be

ANS:A - greater than static pressure

1. Inertia of the Water Column: When the container is accelerated upward, the water inside it tends to remain at rest due to its inertia. This inertia causes the water column to resist the upward motion of the container.
2. Force Exerted by the Water Column: The water column exerts a force on the bottom of the container to resist its acceleration. This force is proportional to the mass of the water column and the acceleration of the container (Newton's second law: F=ma).
3. Increase in Pressure: The force exerted by the water column is distributed over the area of the container's bottom. This distribution results in an increase in pressure at the bottom of the container compared to the pressure when the container is at rest (static pressure).
4. Hydrostatic Pressure: When the container is at rest (static condition), the pressure at the bottom is due to the weight of the water column above it (hydrostatic pressure). However, when the container is accelerated upward, the additional force due to inertia adds to the hydrostatic pressure, resulting in a pressure greater than the static pressure.