In a vehicle lifter the enclosed gas exerts a force F on a small piston having a diameter of 8 cm. This pressure is transmitted to a second piston of diameter 24 cm. If the mass of the vehicle to be lifted is 1400 kg then value of F is

Options

A. 1200 N
B. 1800 N
C. 1600 N
D. 700 N

Answer

C

Explanation

Here , `r_1 = 4 cm " and " r_2 = 12cm`
`F_1=F " and " F_2=mg=1400xx10N`
According to pascal's law
`F_1 = F_2xxr_1^2/r_2^2 = 14xx10^3xx(4/12)^2`
`14xx10^3xx1/9=1600N`