A U-tube has dissimilar arms, one having twice the diameter of the other. It contains

Question

A U-tube has dissimilar arms, one having twice the diameter of the other. It contains an incompressible fluid and is fitted with a sliding piston in each arm, with each piston in contact with the fluid. When the piston in the narrow arm is pushed down a distance d, the piston in the wide arm rises a distance of (a) d/2 (b) d/4 (c) 2d (d) d (e) 4d

Answer 1

The Answer is (e) 4d

P1 = P2

F1/A1 = F2/A2

F1 / R1² = F2 / R2 ² as R1 = 2R2

F1 = 4 F2

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