State and prove Pascal's law in fluids.

Explanation

It states that if the pressure in a liquid is changed at a particular point, the change is transmitted to the entire liquid without being diminished in magnitude. Hydraulic lift which is used to lift a heavy load with a small force. It is a force multipler. It consists of two cylinders A and B connected to each other by a horizontal pipe, filled with a liquid. They are fitted with frictionaless pistons of cross-sectional areas `A_(1)` and `A_(2) (A_(2) gt A_(1))`. Suppose a downward force F is applied on the smaller piston increases to P (where, `P = (F_(1))/(A_(1))`). But according to Pascal's law, this increased pressure P is transmitted undiminished in all directiona. So a pressure is exerted on piston. Upward force on piston B is
`F_(2) = P xx A_(2) = (F_(1))/(A_(1)) xx A_(2) rArr F_(2) = (A_(2))/(A_(1)) xx F_(1)`
Therefore by changing the force on the smaller piston A, the force on the piston B has been increased by the factor `(A_(2))/(A_(1))` and this factor is called the mechanical advantage of the lift.