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Q.

A small cylinder of 2 cm diameter is connected to a large cylinder of 20 cm diameter and each cylinder is fitted with suitable pistons. An incompressible fluid is filled in the cylinders. A force of 60 N is applied to the piston of the small cylinder, then the force exerted on the piston of the large cylinder will be

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a

12000N

b

6000N

c

1200N

d

600N

answer is B.

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Detailed Solution

According to Pascal's law, pressure of a fluid is transmitted equal in all directions. HenceF1A1=F2A2  or  F2=F1A1×A2 ∴ F2=60π×(0⋅02)2×π×(0⋅2)2 = 6000N
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A small cylinder of 2 cm diameter is connected to a large cylinder of 20 cm diameter and each cylinder is fitted with suitable pistons. An incompressible fluid is filled in the cylinders. A force of 60 N is applied to the piston of the small cylinder, then the force exerted on the piston of the large cylinder will be