As per Pascal's law
Pressure must be equally transmitted to all points of fluids
So here we can say
[tex]P_{in} = P_{out}[/tex]
As we know that pressure is the ratio of force and area so we can say
[tex]\frac{F_{in}}{A_{in}} = \frac{F_{out}}{A_{out}}[/tex]
Given that
[tex]F_{in} = 200 N[/tex]
[tex]A_{in} = 0.1 m^2[/tex]
[tex]A_{out} = 5 m^2[/tex]
[tex]\frac{200}{0.1} = \frac{F_{out}}{5}[/tex]
[tex]F_{out} = 5 * 2000 = 10000[/tex]
so output force will be 10 kN
so A option is correct
