Correct Answer - Option 2 : 2223 N

__Concept:__

**Pascal’s Law:**

- It was given by Blaise pascal
- It is also known as principle of transmission of fluid pressure
- It states that the pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.
- Alternate definition:- The pressure applied to any part of the enclosed liquid will be transmitted equally in all directions through the liquid.

**Applications:**

- The underlying principle of hydraulic jack and hydraulic press.
- Force amplification in the braking system of most motor vehicles.
- Used in artesian wells, water towers and dams.

__Calculation:__

Given,

Diameter of plunger, d = 45 mm

Diameter of ram, D = 300 mm

Force applied at plunger, F_{1} = 50N

According to pascals law,

Pressure applied at plunger = Pressure exerted on the ram

\(\frac{{{F_1}}}{{{A_1}}} = \frac{{{F_2}}}{{{A_2}}}\)

\(\frac{{50}}{{\frac{{\pi {d^2}}}{4}}} = \frac{{{F_2}}}{{\frac{{\pi {D^2}}}{4}}}\;\)

∴ \({F_2} = \frac{{{D^2}}}{{{d^2}}} \times 50 = \frac{{{{300}^2}}}{{{{45}^2}}} \times 50 = \;2222.22N\)

Here, F

_{2} = force exerted by the ram to lift the weight.