Two pistons of areas and are connected by an incompressible fluid in a hydraulic press

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Two pistons of areas

A_1

and

A_2

are connected by an incompressible fluid in a hydraulic press. If a force

F_1

is applied on the smaller piston, which relation correctly gives the force

F_2

exerted on the larger piston (neglecting losses)? (a)

F_2 = F_1\sqrt{\dfrac{A_2}{A_1}}

(b)

F_1A_1 = F_2A_2

(c)

F_1A_2 = F_2A_1

(d)

F_2 = F_1\left(\dfrac{A_2}{A_1}\right)^{\!2}