How is pressure mathematically expressed?

Pressure is defined as the force exerted per unit area. This definition is mathematically represented by the formula P = F / A, where P is pressure, F is the force applied, and A is the area over which the force is distributed.

In practical terms, when a force is applied to a surface, pressure measures how concentrated that force is. For instance, applying a large force over a small area results in high pressure, while the same force applied over a larger area results in lower pressure. This relationship is crucial in fields such as engineering, physics, and various applications within instrumentation where pressure measurements are important for system design and safety.

The other options do not accurately reflect the relationship between force, area, and pressure. For example, A and C confuse the relationship by either placing area in the numerator or having incorrect terms. Option B reflects a different concept entirely, as it implies a relationship between height and volume, which is unrelated to the definition of pressure. Understanding this correct formulation is essential for effectively measuring and managing pressure in various systems.