1.

A piston of cross-sectional area 100 cm^(2) is used in a hydraulic press to exert a force of 107 dyne on the water. The cross-sectional area of the other piston which supports a truck of mass 2000 kg is :

Answer»

`9.8xx10^(2)CM^(2)`
`9.8xx10^(3)cm^(2)`
`1.96xx10^(3)cm^(2)`
`1.96xx10^(4)cm^(2)`

SOLUTION :Pressure on the first piston = `(10^(7))/100=10^(5)` dyne/c`m^(2)`
Let A be the CROSS sectional area of the other piston.
Then the pressure on this piston =`(2000xx1000xx980)/A`
SINCE the two pressures are EQUAL.
`therefore(2000xx1000xx980)/A=10^(5)`
or `A=19600cm^(2)=1.96xx10^(4)cm^(2)`
Correct choice is (d).


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