State Pascal's law.

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(N/A) Pascal's law states that the pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and to the walls of the container.
Mathematically,if an external pressure $P_{ext}$ is applied to a confined fluid,the change in pressure $\Delta P$ at any point within the fluid is equal to the applied pressure,i.e.,$\Delta P = P_{ext}$.

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Give two uses of Pascal's law.

In a hydraulic lift,compressed air exerts a force $F$ on a small piston of radius $3 \ cm$. Due to this pressure,the second piston of radius $5 \ cm$ lifts a load of $1875 \ kg$. The value of $F$ is (Acceleration due to gravity $= 10 \ m \ s^{-2}$) (in $N$)

$A$ hydraulic lift is shown in the figure. The radii of the movable pistons $P_1$ and $P_2$ are $2 \,m$ and $8 \,m$ respectively. If a body of mass $2 \,kg$ is placed on piston $P_1$, then the force on piston $P_2$ is (Ignore atmospheric pressure, acceleration due to gravity $= 10 \,ms^{-2}$) (in $\,N$)

The area of cross-section of the wider tube shown in the figure is $800 \ cm^2$. If a mass of $12 \ kg$ is placed on the massless piston,the difference in heights $h$ in the level of water in the two tubes is ........ $cm$.

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State Pascal's law for pressure transmission and explain its significance.

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