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In a vehicle lifter the enclosed gas exe...

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

A

1200 N

B

1800 N

C

1600 N

D

700 N

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `r_(1)=4 cm " and " r_(2)=12 cm`
`F_(1)=F " and" F_(2)= mg=1400xx10 N`
According to pascal's law
`F_(1)=F_(2)xx(r_(1)^(2))/(r_(2)^(2))=14xx10^(3)xx((4)/(12))^(2)`
`=14xx10^(3)xx(1)/(9)cong 1600 N`
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