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 the heights $h$ in the level of water in the two tubes is ........ $m$.

The movable cylindrical pistons $P_1$ and $P_2$ of a hydraulic lift are of radii $2 \,m$ and $R$ respectively. $A$ body of mass $32 \,kg$ on piston $P_2$ is supported by a body of mass $2 \,kg$ placed on piston $P_1$. The value of $R$ is (in $\,m$)

Given below are two statements:
Statement $I :$ Pressure in a reservoir of water is same at all points at the same level of water.
Statement $II :$ The pressure applied to enclosed water is transmitted in all directions equally.
In the light of the above statements,choose the correct answer from the options given below:

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

State and prove Pascal's law.

$A$ hydraulic press can lift $100\, kg$ when a mass $'m'$ is placed on the smaller piston. It can lift ......... $kg$ when the diameter of the larger piston is increased by $4$ times and that of the smaller piston is decreased by $4$ times,keeping the same mass $'m'$ on the smaller piston.