Answer:
Correct answer is[tex].015m^2[/tex] which is not any option
Solution
In this question we have given,
force on piston 1,[tex]F_{1}[/tex]=6600N
Area of piston 1,[tex]A_{1}[/tex]=[tex].010m^2[/tex]
Force on piston 2,[tex]F_{2}[/tex]=9900N
we have to find area of piston 2, [tex]A_{2}[/tex]=?
According to Pascal's law, the pressure is transmitted with equal intensity to every part of the fluid:
It means,
[tex]p_{1}= p_{2}[/tex]
which becomes
[tex]\frac{F_{1} }{A_{1}} =\frac{F_{2} }{A_{2}}[/tex]
[tex]A_{2}=\frac{A_{1}\times F_{2}}{F_{1} }[/tex].........(1)
Put values of [tex]A_{1},F_{1} and F_{2}[/tex] in equation 1
[tex]A_{2}=\frac{.010m^2\times 9900N}{6600N}[/tex]
[tex]A_{2}=0.015m^2[/tex]