A capillary tube is held vertically in water. The internal radius of the tube is $\frac{1}{42}\mathrm{cm}.$ If the surface tension is $70 \mathrm{dyne} {\mathrm{cm}}^{-1}$ And angle of contact is zero, then rise in the capillary tube is.
Density of water $=1 \mathrm{g} {\mathrm{cm}}^{-3}$

Water rises to a height of $10 \mathrm{cm}$ in a capillary tube and mercury falls to a depth of $3.42 \mathrm{cm}$ in the same capillary tube. If the density of mercury is $13.6\mathrm{gm} {\mathrm{cc}}^{-1}$ and the angle of contact is $135°,$ then the ratio of surface tension for water and mercury is

The height of liquid column in the capillary on the surface of Moon, if it is h on surface of the Earth is

In a surface tension experiment with a capillary tube, water rises upto $0.1\mathrm{m}$. If the same experiment is repeated in an artificial satellite which is revolving around the earth, water will rise in the capillary tube upto a height equal to

A capillary the tube is kept vertical with the lower end dipped in water. The height of water raised in the capillary is $4 \mathrm{cm}.$ If the length of the capillary tube is made $2 \mathrm{cm}$, then the angle made by the water surface in the capillary with the wall is

A liquid of density $850\mathrm{kg} {\mathrm{m}}^{-3}$ has an unknown surface tension. However, it is observed that it rises three times high in a capillary tube as compared to pure water. If the contact angles for both are same, then the surface tension of liquid is (Surface tension of water is $\left.7.0\times {10}^{-2}\mathrm{N} {\mathrm{m}}^{-1}\right)$

The U-tube with limbs of diameters $6\mathrm{mm}$ and $3\mathrm{mm}$ Contain water of surface tension $7\times {10}^{-2}{\mathrm{Nm}}^{-1}.$ The angle of contact is zero and density ${10}^3{\mathrm{kgm}}^{-3}$. If $\mathrm{g}$ is $10{\mathrm{ms}}^{-2}$, then the difference in levels in the two limbs is

The surface tension of water is $0.072 \mathrm{N} {\mathrm{m}}^{-1}$. The height to which water will rise in a capillary tube of bore diameter $0.048 \mathrm{cm}$ will be (Angle of contact of water is zero, acceleration due to gravity is $10 \mathrm{m} {\mathrm{s}}^{-2}$ and density of water is $1000\mathrm{kg} {\mathrm{m}}^{-3}$).

Two capillaries $A$ and $B$ are dipped in water and held vertical. The diameter of $A$ is twice that of $B$. The ratio of the heights to which water rises in $A$ and $B$ is