Capillarity and Capillary Action

On dipping one end of a capillary in liquid and inclining the capillary at an angles 30^o and 60^​o with the vertical, the lengths of liquid columns in it are found to be $l_1$ and $l_2$ respectively. The ratio of $l_1$ and $l_2$ is

On dipping one end of a capillary in liquid and inclining the capillary at an angles ${30}^0$ and ${60}^0$ with the vertical, the lengths of liquid columns in it are found to be $l_1$ and $l_2$ respectively. The ratio of $l_1$ and $l_2$ is

Water rises in a vertical capillary tube upto a height of $2.0 \mathrm{cm}$. If the tube is inclined at an angle of $60°$with the vertical, then upto what length the water will rise in the tube

Water rises in a vertical capillary tube up to a height of $2.0 \mathrm{cm}$. If the tube is inclined at an angle of $60°$ with the vertical, then up to what length the water will rise in the tube?

An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius $0.1 \mathrm{mm}$ is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The air in the container is isothermally compressed from its original volume $V_0$ to $\frac{100}{101}{V}_0$ with the movable piston. Considering air as an ideal gas, the height $\left(h\right)$ of the liquid column in the capillary above the liquid level in $\mathrm{cm}$ is _____.

[Given: Surface tension of the liquid is $0.075 \mathrm{N} {\mathrm{m}}^{-1}$, atmospheric pressure is ${10}^5 \mathrm{N} {\mathrm{m}}^{-2}$, acceleration due to gravity $\left(g\right)$ is $10 \mathrm{m} {\mathrm{s}}^{-2}$, density of the liquid is ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$ and contact angle of capillary surface with the liquid is zero]

A liquid of contact angle $60°$ rises in the capillary up to height$h.$ If another capillary of same diameter is dipped in same liquid of contact angle$0°$ then rise will be

Find the rise of water $\mathrm{h}$ in $\mathrm{mm}$in the capillary as shown in figure. (Radius of capillary $=2 \mathrm{mm}$, Angle of contact $=0°$, and surface tension of water $=40 \mathrm{dyne}/\mathrm{cm}$, $\mathrm{g}=10 {\mathrm{ms}}^{-2}$).

Liquid reaches an equilibrium as shown, in a capillary tube of internal radius $r$. If the surface tension of the liquid is $T$, the angle of contact $\theta$ and density of liquid $\rho$, then the pressure difference between $P$ and $Q$ is

In a $U$-shaped tube the radius of one limb is $2 \mathrm{mm}$ and that of other limb is $4 \mathrm{mm}$. A liquid of surface tension $0.03 {\mathrm{Nm}}^{-1}$, density $1500 {\mathrm{kgm}}^{-3}$ and angle of contact zero is taken in the tube. The difference in the heights of the levels of the liquid in the two limbs is
(Acceleration due to gravity $=10 {\mathrm{ms}}^{-2}$)

Which of the following graphs represent the relation between capillary rise $h$ and the radius $r$ of the capillary?

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The correct formula to determine surface tension by capillary rise method is

Water rises to height $H$ in a capillary of radius $r$ and angle of contact is zero as shown in figure. The density and surface Tension of water is $\rho$ and $T$ respectively.
Acceleration due to gravity is $g$ and atmospheric pressure is $P_0$. Now, identical capillary as of (i) is bend in different forms as shown in the figure (ii), (iii) and (iv)

When water rises in a capillary tube of radius $\text{'}r\text{'}$ to height $\text{'}h\text{'},$ then its potential energy $\text{'}{U}_1\text{'}$ if capillary tube of radius $2r$ is dipped in same water then potential energy of water is ${}^{\text{'}}U_2^{\text{'}}.$ Then $U_1:U_2$ will be
 

A capillary tube of radius '$r$' is lowered into water whose surface tension is '$\alpha$' and density '$d$'. The liquid rises up and settles to a certain height. Assume that the contact angle is zero. Choose the correct statement(s) for this entire process

A small amount of water is poured from the top and the water surface assumes the profile as shown in the figure. Assume that water does not wet the vertical part of the tube. The angle of contact $\alpha$ is $120°$ and the surface tension of water is $0.070 {\mathrm{Nm}}^{-1}$. The thickness $h$ of the layer of water is nearest to (assume the thickness of the layer of water substantially smaller than the diameter of opening of tube, and $\mathrm{g}=10 {\mathrm{ms}}^{-2}$ )

Explain capillary rise.

In a capillary tube placed inside the liquid of density ( $\rho$ )in a container, the rise of liquid is $h$. When block of density ' $\sigma$ ' is placed on the liquid as shown in the figure, liquid in the tube is $h^{\text{'}}$. If $\sigma <\rho$ then

Capillary tube with very thin walls is suspended vertically in a cup containing water. Before the capillary is suspended, the cup was balanced against weights on a beam balance. When capillary is dipped to a small distance in the water, water rises in the capillary. Water completely wets the capillary walls. To restore the balance, we have to decrease the load on the other scales by $0.14 \mathrm{g}$. If the surface tension of water is $0.07 \mathrm{N} {\mathrm{m}}^{-1}$, determine the radius $r$ (in $\mathrm{mm}$) of the capillary.

In a capillary tube of length $20 \mathrm{cm}$ and bore diameter $1 \mathrm{mm}$, a very thin glass rod of diameter $0.5 \mathrm{mm}$ is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is $0°$. What is the difference in length of capillary raise if the tube is vertical in a case and is at $30°$ to the horizontal in other? Express the magnitude in $\mathrm{cm}$. Surface tension of water is $0.075 \mathrm{N} {\mathrm{m}}^{-1}$

Capillary action is important for moving _____ around.