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Rise of liquid in a capillary tube is considered one of the most asked concept.
34 Questions around this concept.
20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator, the length (in cm) of the water column in the capillary tube will be :
A capillary tube made of glass with a radius of 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 Nm¹, density = 667 kg m³), which rises to height h in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opposite sides of the capillary) make an angle of 60° with one another. Then h is close to (g=10 ms²):
A capillary tube $(A)$ is dipped in water. Another identical tube $(B)$ is dipped in a soapwater solution. Which of the following shows the relative nature of the liquid columns in the two tubes?
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In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75 × 10-4 N, forces due to the weight of the liquid. If the surface tension of water is 6 × 10-2 N/m, the inner circumference of the capillary must be
Capillarity -
If a capillary tube is dipped in a liquid, it is found that the liquid in the capillary either ascends or descends relative to the surrounding liquid. This phenomenon is called capillarity.
Examples of capillarity-
A towel soaks water.
Ascent Formula-
When one end of the capillary tube of radius r is immersed into a liquid of density (For example- water and capillary tube of glass), And the shape of the liquid meniscus in the tube becomes concave upwards as shown in the figure.
Then the height h up to which the liquid level rises in the capillary tube is given by Ascent Formula
$\text { which says } h=\frac{2 T \cos \Theta}{\rho g r}$
where
$T$ - surface Tension
$r$ - radius of capillary tube
$\rho$ - liquid density
$\theta$ - Angle of contact
1. The capillary rise depends on the nature of liquid and solid both. I.e on $T, \rho, \theta, r$
2. For a given liquid and solid pair as $T, \rho, \theta$ are constat then $h \alpha \frac{1}{r}$. i.e., lesser the radius of capillary greater will be the rise and vice-versa.
3. Capillary action for various liquid-solid pair
I. For $\Theta<90^{\circ}$ (I.e for water and capillary tube of glass)
So Meniscus will take Concave shape and liquid in the capillary will rise/ascend.
II. For $\Theta>90^{\circ}$ ( I.e for Mercury and glass capillary tube)
So Meniscus will take Convex shape and liquid in the capillary will fall/descend.
III. For $\Theta=90^{\circ}$ (I.e for Pure water and silver-coated capillary tube.)
So Meniscus will take Plane shape and liquid in the capillary will show No rise, no fall.
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