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A piston of cross-sectional area 100 cm^...

A piston of cross-sectional area `100 cm^(2)` is used in a hydraulic pressure to exert a force of `10^(7)` dyne on the water. The cross-sectional area of the other piston which support a truck of mass 2000 kg is

A

`100 "cm"^(2)`

B

`10^(9)"cm"^(2)`

C

`1.96xx10^(4)"cm"^(2)`

D

`2xx10^(10)"cm"^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
In a hydraulic lift, we have
`(F_(1))/(A_(1))=(F_(2))/(A_(2))`
`(10^(7))/(100)=(2000xx10^(3)xx10^(3))/(A_(2))`
`A_(2)=(2000xx10^(3)xx10^(3)xx100)/(10^(7))=2xx10^(4)cm^(2)`
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