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The pressure exerted by the force F1 on the piston of area A1 is transmitted through the fluid without diminution. If A2 is greater than A1 which of the following will be true of the resulting upward force, F2?(a) F2 will be equal to F1, initially, and then decrease.(b) F2 will be equal to F1.(c) F2 will be less than F1.(d) F2 will be greater than F1.

The Pressure Exerted By The Force F1 On The Piston Of Area A1 Is Transmitted Through The Fluid Without Diminution If A2 Is Greater Than A1 Which Of The Followin class=

Sagot :

Given:

[tex]A_2>A_1[/tex]

The pressure is defined as,

[tex]P=\frac{F}{A}[/tex]

According to Pascal's law; the pressure remain same at for the liquid at rest. Therefore,

[tex]\frac{F_1}{A_1}=\frac{F_2}{A_2}[/tex]

As given A2 is greater than A1. Therefore,

[tex]F_1Therefore, option (d); F2 will be greater than F1, is the correct choice.