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The diagram shows a hydraulic system in ...

The diagram shows a hydraulic system in equilibrium. The cross-sectional areas of the smaller piston and the larger piston are `S cm ^(2)` and `5 S cm^(2)` respectively.

The mass M required to balance the load of 50 kg is

A

2kg

B

5 kg

C

8 kg

D

10 kg

Text Solution

Verified by Experts

The correct Answer is:
D
In order to balance the load of 50 kg, we need to make the pressure same on both the sides.
So, `(F_(1))/(A_(1)) =(F_(2))/(A_(2))`
`rArr F_(1) = (A_(1))/(F_(2)) F_2` [ `because ` Force = weight of the mass]
or `M = (S)/(5S) xx 50 =10 kg `
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