Correct Option
The correct option isThe height of the liquid column and its density.
Explanation
The pressure exerted by a static liquid at a specific depth is known as hydrostatic pressure. It arises due to the weight of the liquid column pressing down on a unit area. The magnitude of this pressure is mathematically determined by the hydrostatic formula:
P = hρg
Where:
- P is the pressure.
- h is the height (depth) of the liquid column.
- ρ (rho) is the density of the liquid.
- g is the acceleration due to gravity.
Detailed Analysis
- The surface area of the liquid. and The shape of the container.: Incorrect. The pressure at a given depth is independent of the total volume, surface area, or the shape of the container. This counter-intuitive principle is known as the Hydrostatic Paradox, which states that the pressure depends only on the vertical depth, not on the geometry of the vessel.
- The height of the liquid column and its density.: Correct. As indicated by the formula P = hρg, the pressure is directly proportional to the height of the liquid column above the point in question and the density of the liquid. A denser liquid or a deeper point results in higher pressure.
- The material of the container.: Incorrect. The material of the container affects the container's strength or chemical interaction but has no influence on the internal pressure exerted by the fluid itself.
Key Takeaway: Liquid pressure at a point is determined solely by the vertical depth below the free surface, the density of the liquid, and gravitational acceleration. It is independent of the container's shape or cross-sectional area.