state and prove Pascal Law explain one of its application also
Answers
A change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all points in the fluid.
This principle is stated mathematically as:
{\displaystyle \Delta P=\rho g(\Delta h)\,} \Delta P=\rho g(\Delta h)\,
{\displaystyle \Delta P} \Delta P is the hydrostatic pressure (given in pascals in the SI system), or the difference in pressure at two points within a fluid column, due to the weight of the fluid;
ρ is the fluid density (in kilograms per cubic meter in the SI system);
g is acceleration due to gravity (normally using the sea level acceleration due to Earth's gravity, in meters per second squared);
{\displaystyle \Delta h} \Delta h is the height of fluid above the point of measurement, or the difference in elevation between the two points within the fluid column (in meters).
The intuitive explanation of this formula is that the change in pressure between two elevations is due to the weight of the fluid between the elevations. Alternatively, the result can be interpreted as a pressure change caused by the change of potential energy per unit volume of the liquid due to the existence of the gravitational field.[further explanation needed] Note that the variation with height does not depend on any additional pressures. Therefore, Pascal's law can be interpreted as saying that any change in pressure applied at any given point of the fluid is transmitted undiminished throughout the fluid.