In a hydraulic press, radii of connecting pipes, `r_(1)` and `r_(2)` are in the ratio `1:2` . In order to lift a heavy mass M on the larger piston, the small piston must be pressed through a minimum force f equal to

Options

A. Mg
B. `(Mg)/2`
C. (Mg)/4`
D. `(Mg)/8`

Answer

C

Explanation

According to Pascal.s principle
`(f_(1))/(f_(2))=(A_(1))/(A_(2))=(r_(1)^(2))/(r_(2)^(2))=1/4`
`f_(1)=1/4Mg`