Water rises to a height $3$ cm in a capillary tube. If the cross-sectional area of the capillary tube is reduced to $1/3^{rd}$ of its initial area, then water will rise to a height of:

If a capillary experiment is performed in a vacuum,what happens to the liquid level in the capillary tube?

$A$ glass rod of radius $r_1$ is inserted symmetrically into a vertical capillary tube of radius $r_2$ $(r_1 < r_2)$ such that their lower ends are at the same level. The arrangement is dipped in water. The height to which water will rise into the tube will be ($\rho =$ density of water,$T =$ surface tension of water,$g =$ acceleration due to gravity).

Given below are two statements:
Statement $I$: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.
Statement $II$: The rise of a liquid in a capillary tube does not depend on the inner radius of the tube.
In the light of the above statements,choose the correct answer from the options given below:

Water rises up to a height $h$ in a capillary tube on the surface of the Earth in a stationary condition. The value of $h$ increases if this tube is taken:

In a capillary tube of area of cross-section $a$,water rises to a height $h$. To what height will water rise in a capillary tube of area of cross-section $4a$?