Advertisements
Advertisements
Question
Which of the following graphs may represent the relation between the capillary rise hand the radius r of the capillary?

Advertisements
Solution
\[\text{ The relationship between height h and radius r is given by: } \]
\[\text{ h } = \frac{2Scos\theta}{r\rho g}\]
\[\text{ If S, }\theta, \rho \text{ and g are considered constant, we have:} \]
\[\text{ h } \propto \frac{1}{r}\]
This equation has the characteristic of a rectangular hyperbola. Therefore, curve (c) is a rectangular hyperbola.
APPEARS IN
RELATED QUESTIONS
What is the excess pressure inside a bubble of soap solution of radius 5.00 mm, given that the surface tension of soap solution at the temperature (20 °C) is 2.50 × 10–2 N m–1? If an air bubble of the same dimension were formed at depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble? (1 atmospheric pressure is 1.01 × 105 Pa).
Calculate the work done in increasing the radius of a soap bubble in air from 1 cm to 2 cm. The surface tension of soap solution is 30 dyne/cm. (Π = 3.142).
The free surface of a liquid resting in an inertial frame is horizontal. Does the normal to the free surface pass through the centre of the earth? Think separately if the liquid is (a) at the equator (b) at a pole (c) somewhere else.
If a mosquito is dipped into water and released, it is not able to fly till it is dry again. Explain
A cubical box is to be constructed with iron sheets 1 mm in thickness. What can be the minimum value of the external edge so that the cube does not sink in water? Density of iron = 8000 kg/m3 and density of water = 1000 kg/m3.
How much amount of work is done in forming a soap bubble of radius r?
The surface tension of a liquid at critical temperature is ______
Water rises to a height of 20 mm in a capillary tube. If the radius made 1/3rd of its previous value, to what height will the water now rise in the tube?
How does surface tension help a plant?
Explain elasticity using intermolecular forces.
Obtain an expression for the excess of pressure inside a
- liquid drop
- liquid bubble
- air bubble
A capillary of diameter d mm is dipped in water such that the water rises to a height of 30 mm. If the radius of the capillary is made `(2/3)` of its previous value, then compute the height up to which water will rise in the new capillary?
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 `"r"/4` will be ______.
The excess of pressure, due to surface tension, on a spherical liquid drop of radius 'R' is proportional to ______.
A large number of liquid drops each of radius 'r' coalesce to form a big drop of radius 'R'. The energy released in the process in converted into kinetic energy of the big drop. The speed of the big drop is ______. (T = surface tension of liquid, p = density of liquid)
This model of the atmosphere works for relatively small distances. Identify the underlying assumption that limits the model.
The surface tension of a soap solution is T. The work done in blowing a soap bubble of diameter d to that of a diameter 2d is ______.
The surface tension of soap solution is 25 × 10-3 Nm-1. The excess of pressure inside a soap bubble of diameter 1 cm is ______.
A light metal disc of radius ‘r’ floats on water surface and bends the surface downwards along the perimeter making an angle ‘θ’ with the vertical edge of the disc. If the weight of water displaced by the disc is ‘W’, the weight of the metal disc is ______.
[T = surface tension of water]
