Question:

Two soap bubbles of radii a and b combine to form a single bubble of radius 3) If P is the external pressure, then S.T. of the soap solutionis

Updated On: Jun 23, 2023
  • $\frac{P(c^3 +a^3+b^3)}{4(a^2+b^2+c^2)}$
  • $\frac{P(c^3 -a^3-b^3)}{4(a^2+b^2-c^2)}$
  • $Pc^3-4a^2-4b^2$
  • $Pc^3-2a^2-3b^2$
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The Correct Option is B

Solution and Explanation

$P ( c^3 - a^3 - b^3) = 4T (a^2 + b^2 - c^2)$
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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.