Question:

Surface tension of mercury is $ 0.465 \,N\, m^{-1} $ . The excess pressure inside a mercury drop of diameter $ 6 \,mm $ is

Updated On: Jun 23, 2023
  • $ 310 \, pa $
  • $ 410 \, pa $
  • $ 510 \, pa $
  • $ 610 \, pa $
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The Correct Option is A

Solution and Explanation

Here, $ D = 6\, mm $ $ r=\frac{D}{2}=\frac{6 \,mm}{2}=3\,mm=3\times10^{-3}\,m $ Excess pressure inside the mercury drop is $ P=\frac{2S}{r}=\frac{2\times0.465\,N\,m^{-1}}{3\times10^{-3}\,m} $ $= 310\,Pa $
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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.