Capillarity — Prelims Questions

A capillary tube of radius $r$ is dipped in water. Water rises to a height $h$. If the radius of the capillary tube is reduced to $r/2$, the height to which water will rise is:

A liquid rises to a height $h$ in a capillary tube. If the tube is inclined at an angle of $60^\circ$ with the vertical, the length of the liquid column along the tube will be:

Which of the following statements is TRUE regarding capillary action?

Two capillary tubes of radii $r_1$ and $r_2$ are dipped in the same liquid. The ratio of heights to which the liquid rises in the tubes is $h_1:h_2$. If $r_1:r_2 = 2:3$, what is $h_1:h_2$?

Water rises in a capillary tube to a height of $2.0,\text{cm}$. In another capillary tube whose radius is one-third of the first, the height to which water will rise is:

A liquid of surface tension $T$ and density $\rho$ rises to a height $h$ in a capillary tube of radius $r$. If the liquid is replaced by another liquid of surface tension $2T$ and density $1.5\rho$, and the angle of contact remains the same, what is the new height of rise in the same tube?