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 $\,N$)

Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by

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 ........ $cm$.

Give two uses of Pascal's law.

State Pascal's law. Explain its application in a hydraulic lift.