What does Pascal's Law state regarding fluid behavior?

Pascal's Law, named after Blaise Pascal, states that when pressure is applied to a confined fluid, that pressure is transmitted undiminished in all directions throughout the fluid. This principle is fundamental in fluid mechanics and has various practical applications, including hydraulic systems.

When a force is applied to a fluid in a closed container, the change in pressure at any point in the fluid is the same regardless of where the force is applied. This is why hydraulic systems, such as hydraulic lifts and brakes, can effectively transmit force over distances, allowing for the efficient transfer of power and movement.

In this context, the other options do not accurately reflect Pascal's Law or the established principles of fluid mechanics. The first choice inaccurately describes the relationship between pressure and volume, which is not a direct consequence of Pascal's Law. The third choice presents an incorrect equation that misrepresents the relationship between fluid velocity, pressure, and density. Lastly, while temperature can indeed affect pressure in fluids, especially in gases, it is not a factor addressed by Pascal's Law, which focuses solely on pressure transmission within confined fluids.