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Question

Two syringes of different cross section (without needle) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are 1 cm and 3 cm respectively. If a force of 10 N is applied to the smaller piston then the force exerted on the larger piston is

A
30 N
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B
60 N
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C
90 N
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D
100 N
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Solution

The correct option is B 90 N
Since pressure is transmitted undiminished throughout the water
F1A1=F2A2
where F1 and F2 are the forces on the smaller and on the larger pistons respectively and A1 and A2 are the respective areas.
F2=A2A1F1=π(D2/2)2π(D1/2)2F1=(D2D1)2F1
=(3×102m)2(1×102m)2×10N=90N

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