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State Pascal's law and verify it with th...

State Pascal's law and verify it with the help of an experiment.

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Pascal's principle :
Pascal's principle states that externl pressure applied to a enclosed body of fluid is transmited equally in all directions throughout the fluid volume and the walls of the containing vessel.
1. Look at the figure.
2. Here we have an enclosed volume of fluid in a U-shaped tube.
3. The fluid is enclosed in the tube by two leak-proof pistons in each arm.
4. The ratio of cross-section areas of the right and left tubes is `A_(2):A_(1)andA_(2)gtA_(1).`
5. When a force `F_(1)` is applied to the left piston, the exess pressure acting on the fluid volume is `F_(1)//A_(1).`
6. According to Pascal's principle, this excess pressure is transmitted equally throughout the fluid volume.
7. The excess pressure in the right-side tube `(AreaA_(2))` is also `F_(1)//A_(1)` and since its area is `A_(2),` the upward force acting on the right piston is `F_(2)=A_(2)xxF_(1)//A_(1),` which is much larger in magnitude than `F_(1).`
8. Thus the application of Pascal's principle results in a large upward force on the right piston when a small downward force is applied on left piston.
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