Question:
Find the height of liquid in capillary tube if surface tension of liquid is S, radius of capillary tube is r and acceleration due to gravity is g:
Find the height of liquid in capillary tube if surface tension of liquid is S, radius of capillary tube is r and acceleration due to gravity is g:
Updated On: Mar 27, 2024
- $\frac{2S cos\,\theta}{\rho rg}$
- $\frac{2S}{\rho rg\,cos\,\theta}$
- $\frac{2S\,sin\,\theta}{\rho rg}$
- None of these
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The Correct Option is A
Solution and Explanation
The height to which a liquid rises in a capillary tube is given by,
$h=\frac{2S\,cos\,\theta}{r\rho g}$
$h=\frac{2S\,cos\,\theta}{r\rho g}$
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Concepts Used:
Surface Tension
The amount of energy required to increase the liquid's surface area by one unit area is known as surface tension. In other words, it is a property of the liquid surface to resist force.
Surface tension is defined as,
The ratio of the surface force F to the length L along which the force acts.
Mathematically, the surface tension formula can be expressed as follows:
T=F/L
Where,
- F is the force per unit length
- L is the length in which force act
- T is the surface tension of the liquid
Read More: Detergents and Surface Tension
Factors affecting surface tension:
- Impurities: The surface tension decreases with the addition of impurities.
- Surfactants: Adding surfactants in liquids lowers the tension of water making it interrupt aside or get susceptible.
- Temperature: The surface tension of a liquid reduces as the temperature rises.
The Unit of Surface Tension:
The SI unit of Surface Tension is Newton per Meter or N/m.