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A small cylinder of2 cm diamete r is con...

A small cylinder of2 cm diamete r is connected to a large cylinder of 20 cm di ameter and each cylinder is fitted with suitable pistons. An incompressibl e fluid is fi lled in the cylinders. If a force of 60 N is appl ied to the piston of the small cylinder, then the force exerted on the p iston of the large cylinder will be

A

600 N

B

6000 N

C

12000 N

D

1200 N

Text Solution

Verified by Experts

The correct Answer is:
B
This is the working of a hydraulic press, based on pascal's law, where `(F_2)/(F_1)=(A_2)/(A_1)=(pir_2^2)/(pid_1^2)`
`:." "F_2=F_1((r^2)/(r_1))^2=60xx((10)/(1))^2`
`=60xx100=6000N`
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