Question:
The work done in blowing a soap bubble of surface tension $ 0.06 ??Nm^{-1}$ from $2 \,cm$ radius to $5 \,cm$ radius is.
The work done in blowing a soap bubble of surface tension $ 0.06 ??Nm^{-1}$ from $2 \,cm$ radius to $5 \,cm$ radius is.
Updated On: Jan 30, 2025
- 0.004168 J
- 0.003168 J
- 0.003158 J
- 0.004568 J
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The Correct Option is B
Solution and Explanation
$\Delta W = S \times\Delta A$
$ = 0.06 \times4\pi\left(r^{2}_{2} - r^{2}_{1}\right)$
$ = 0.003168 \,J $
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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.