Angle of Contact & Capillarity

The height of the liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5$ cm. If the same tube is dipped in similar way in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ is (Assume that angle of contact for both the liquids is almost same)

Water rises to a height of $2.2$ cm in glass capillary tube. The height to which water will rise in another capillary having one-fourth area of cross-section as that of the first is.

Water rises up to a height $h$ in a capillary tube on the surface of the earth. The value of $h$ will increase, if the experimental set up is kept in ($g$ = acceleration due to gravity)

If we dip capillary tubes of different radii $r_n$ in water and the water rises to different heights $h_n$ in them, then ($n = 1, 2, 3$ .........)

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

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

A capillary tube is taken from the earth to the surface of the moon. The rise of the liquid column on the moon (acceleration due to gravity on earth is $6$ times that of the moon) is

Three liquids have same surface tension and densities $\rho_1, \rho_2$ and $\rho_3$ ($\rho_1 < \rho_2 < \rho_3$). In three identical capillaries rise of liquid is same. The corresponding angle of contact $\theta_1, \theta_2$ and $\theta_3$ are related as

Three liquids have same surface tension and have densities $\rho_1, \rho_2$ and $\rho_3\ (\rho_1 > \rho_2 > \rho_3)$. In three identical capillaries rise of liquid is same. The corresponding angles of contact $\theta_1, \theta_2$ and $\theta_3$ are related as

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height $h$. If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by $1\%$ each, then the height of the liquid in the tube will change by $\underline{\qquad}\ \%$.

When one end of a capillary tube is dipped in water, water rises to a height h. The upward force of $105$ dyne due to surface tension is balanced by the force due to weight of water column. The inner circumference of the capillary is (surface tension of water = $7 \times 10^{-2}$ N/m)

When a capillary tube of radius 'r' is immersed in water, rise of water is upto height 'h'. The mass of water in capillary tube is 'm'. When another capillary tube of radius 'xr' is immersed in water, the mass of water that will rise in this tube is

Surface tension of two liquids (having same densities), $T_1$ and $T_2$, are measured using capillary rise method utilizing two tubes with inner radii of $r_1$ and $r_2$ where $r_1 > r_2$. The measured liquid heights in these tubes are $h_1$ and $h_2$ respectively. [Ignore the weight of the liquid above the lowest point of miniscus]. The heights $h_1$ and $h_2$ and surface tensions $T_1$ and $T_2$ satisfy the relation:

A $20$ cm long capillary is dipped vertically in water. Water rises to $8$ cm. If the arrangement is put in a freely falling elevator, the length of water column in capillary tube will be

In a capillary tube of radius 'R', a straight thin metal wire of radius 'r' is inserted symmetrically and one end of the combination is dipped vertically in water such that lower end of the capillary and thin wire are at same level. If 'T' is the surface tension of water and '$\rho$' is the density of water then the rise of water in the capillary is

The liquid (mercury) meniscus in capillary tube will be convex if the angle of contact is

Two capillary tubes of same diameter are kept vertically in two liquids whose densities are in the ratio $4 : 3$. If their surface tensions are in the ratio $6 : 5$, the ratio of heights $\left(\frac{h_1}{h_2}\right)$ of liquids in the two capillary tubes is (Their angle of contacts are same)

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

A liquid rises to a height of 2.4 cm in a glass capillary P. Another glass capillary Q having diameter $80\%$ of capillary $P$ is immersed in the same liquid. The rise of liquid in capillary $Q$ is

A capillary tube is taken from earth's surface to moon's surface. The rise of liquid column on the moon's surface is (acceleration due to gravity on the earth's surface is six times that of moon's surface)

Two liquids $A$ and $B$ have $\theta_A$ and $\theta_B$ as contact angles in a capillary tube. If $K = \cos\theta_A / \cos\theta_B$, then identify the correct statement:

Pure water rises through a height $h$ in a capillary tube of internal radius r. Surface tension of water is T. The pressure difference between the water level in the container and the lowest point of the concave meniscus is

A capillary tube of radius 0.1 mm is partly dipped in water (surface tension 70 dyn/cm and glass water contact angle ≈ 0°) with 30° inclined with the vertical. The length of water risen in the capillary is _______ cm. (Take $g = 9.8$ m/s${}^{2}$)

When one end of the capillary is dipped in water, the height of water column is ' $h$ '. The upward force of 108 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is (surface tension of water $= 7.2 \times 10^{-2}\text{ N/m}$)

When one end of a capillary tube is dipped in water, the height of water column is ' $h$ '. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary tube is

(Surface tension of water $= 7 \times 10^{-2}\text{ N/m}$)

Water rises in a capillary tube of radius r up to height h. The mass of water in a capillary is m. The mass of water that will rise in capillary of radius $\frac{r}{5}$ will be

One end of a capillary tube is dipped in water, the rise of water column is ' $h$ '. The upward force of 98 dyne due to surface tension is balanced by the force due to the weight of the water column. The inner circumference of the capillary is $($ surface tension of water $= 7 \times 10^{-2}\text{ N m}^{-1})$

A capillary tube when immersed vertically in water, the rise of water column is upto height $h_1$ on earth's surface. When this arrangement is taken into a mine of depth 'd', below earth's surface, the height of the water column is $h_2$. If R is the radius of the earth, the ratio $\frac{h_2}{h_1}$ is

A capillary tube stands with its lower end dipped into liquid for which the angle of contact is $90^\circ$. The liquid will

Two capillary tubes A and B of the same internal diameter are kept vertically in two different liquids whose densities are in the ratio $4 : 3$. If the surface tensions of these two liquids are in the ratio $6 : 5$, then the ratio of rise of liquid in capillary A to that in B is (assume their angles of contact are nearly equal)

Identify the correct figure which shows the relation between the height of water column in a capillary tube and the capillary radius.

Given below are two statements:

Statement I: When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be $0^\circ$.

Statement II: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.

In the light of the above statement, choose the correct answer from the options given below.

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:

Given below are two statements:

Statement I: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water.

Statement II: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water.

In the light of the above statements, choose the most appropriate from the options given below

When capillary is dipped vertically in water, rise of water in capillary is ' h '. The angle of contact is zero. Now the tube is depressed so that its length above the water surface is $\frac{h}{3}$. The new apparent angle of contact is $(\cos 0^\circ = 1)$

The angle of contact between glass and water is $0^\circ$ and water rises in a glass capillary upto 6 cm (Surface tension of water is T). Another liquid of surface tension ' $2T$ ', angle of contact $60^\circ$ and relative density 2 will rise in the same capillary up to $(\cos 0^\circ = 1, \cos 60^\circ = 0.5)$

A glass capillary of radius 0.35 mm is inclined at $60^\circ$ with the vertical in water. The height of the water column in the capillary is (surface tension of water $= 7 \times 10^{-2}\text{ N/m}$, acceleration due to gravity, $g = 10\text{ m/s}^2, \cos 0^\circ = 1, \cos 60^\circ = 0.5$)

Three liquids of densities $\rho_1, \rho_2$ and $\rho_3$ (with $\rho_1 > \rho_2 > \rho_3$) having same value of surface tension T, rise to the same height in three identical capillaries. Angle of contact $\theta_1, \theta_2$ and $\theta_3$ respectively obey

Water rises in a capillary tube of radius ' $r$ ' up to height ' $h$ '. The mass of water in capillary is ' $m$ '. The mass of water that will rise in capillary of radius $r/3$ will be

Water rises up to height ' $X$ ' in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth ' d ' in a mine, the water level rises up to height ' $Y$ '. If ' $R$ ' is the radius of earth then the ratio $\frac{Y}{X}$ is

By adding soluble impurity in a liquid, angle of contact

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid '$A$' vertically is $5\text{ cm}$. If the tube is dipped in a similar manner in another liquid '$B$' of surface tension and density double the values of liquid '$A$', the height of liquid column raised in liquid '$B$' would be (Assume angle of contact same)

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $5\text{ cm}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be __________ m.

Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio $4 : 3$. The rise of liquid in two capillaries is '$h_1$ ' and '$h_2$' respectively. If the surface tensions of liquids are in the ratio $6 : 5$, the ratio of heights $\left(\frac{h_1}{h_2}\right)$ is

(Assume that their angles of contact are same)

Three liquids have same surface tension and densities $\rho_1, \rho_2$, and $\rho_3\ (\rho_1 > \rho_2 > \rho_3)$. In three identical capillaries rise of liquid is same. The corresponding angles of contact $\theta_1, \theta_2$ and $\theta_3$ are related as

Water rises in a capillary tube of radius '$r$' upto a height '$h$'. The mass of water in a capillary is '$m$'. The mass of water that will rise in a capillary tube of radius $\frac{r}{3}$ will be

Water rises to a height of $2\text{ cm}$ in a capillary tube. If cross-sectional area of the tube is reduced to $\frac{1}{16}$th of initial area then water will rise to a height of

In a capillary tube having area of cross-section A, water rises to a height 'h'. If cross-sectional area is reduced to $\frac{A}{9}$, the rise of water in the capillary tube is

Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube. [Take surface tension of water T = 7.3 $\times$ 10$-$2 Nm${}^{-1}$, angle of contact = 0, g = 10 ms2 and density of water = 1.0 $\times$ 103 kg m${}^{-3}$]

Water rises upto a height $10\text{ cm}$ in a capillary tube. It will rise to a height which is much more than $10\text{ cm}$ in a very long capillary tube if the apparatus is kept.

Water rises in a capillary tube of radius '$r$' up to a height '$h$'. The mass of water in a capillary is '$m$'. The mass of water that will rise in a capillary tube of radius $\frac{r}{3}$ will be

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 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 in water, g = acceleration due to gravity)

Water rises upto a height of $4\text{ cm}$ in a capillary tube. The lower end of the capillary tube is at a depth of $8\text{ cm}$ below the water level. The mouth pressure required to blow an air bubble at the lower end of the capillary will be '$X$' $\text{cm}$ of water, where $X$ is equal to

A liquid does not wet the solid surface if angle of contact is

Water rises upto a height $h$ in a capillary tube on the surface of the earth. The value of $h$ will increase, if the experimental setup is kept in [ $g =$ acceleration due to gravity]

A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 Nm–1, density = 667 kg m–3) which rises to height h in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of 60° with one another. Then h is close to (g = 10 ms–2)

When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid rises to a height of 15 cm within it. If the contact angle between the liquid and glass to close to 0°, the surface tension of the liquid, in milliNewton m–1, is [$\rho$(liquid) = 900 kgm–3, g = 10 ms–2]

(Give answer in closest integer) _____.

Water rises in a capillary tube of radius $r$ upto a height $h$. The mass of water in a capillary is $m$. The mass of water that will rise in a capillary of radius $\frac{r}{4}$ will be

A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water in the capillary is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is:

Two capillary tubes of different diameters are dipped in water. The rise of water is

The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of their densities is 13.6. Their contact angles, with glass, are close to 135° and 0°, respectively. It is observed that mercury gets depressed by an amount h in a capillary tube of radius r1, while water rises by the same amount h in a capillary tube of radius r2. The ratio, (r1/r2), is then close to:

If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube of radius '2r' is:

Three liquids of densities $\rho$1, $\rho$2 and $\rho$3 (with $\rho$1 > $\rho$2 > $\rho$3), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact $\theta$1, $\theta$2 and $\theta$3 obey

Water rises to a height h in capillary tube. If the length of capillary tube above the surface of water is made less than h, then

A capillary tube is immersed vertically in water and the height of the water column is x. When this arrangement is taken into a mine of depth d, the height of the water column is y. If R is the radius of earth, the ratio $\frac{x}{y}$ is:

The wettability of a surface by a liquid depends primarily on

Wax is coated on the inner wall of a capillary tube and the tube is then dipped in water. Then, compared to the unwaxed capillary, the angle of contact $\theta$ and the height $h$ upto which water rises change. These changes are:

This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement-1: A capillary is dipped in a liquid and liquid rises to a height h in it. As the temperature of the liquid is raised, the height h increases (if the density of the liquid and the angle of contact remain the same).

Statement-2: Surface tension of a liquid decreases with the rise in its temperature.

A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in a soap-water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?

A $20\text{ cm}$ long capillary tube is dipped in water. The water rises up to $8\text{ cm.}$ If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be