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Excess pressure inside a liquid drop of surface tension T and radius r is - 
1. 2T/r
2. 4T/r
3. T/r
4. -T/r

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Correct Answer - Option 1 : 2T/r

Concept:

  • Due to surface tension, pressure on the concave side of the liquid is always greater than the pressure on the convex side.
  • This is why pressure inside the liquid drop air bubble is greater than the pressure outside.
  • Excess pressure inside a liquid drop is given by

\(P= {2T \over r}\)

where T is the surface tension and R is the radius of drop.

  • Excess pressure inside an air bubble in the liquid is given by

\(P= {2T \over r}\)

where T is the surface tension and R is the radius of drop.

  • Excess pressure inside the soap bubble in the air is given by

\(P= {4T \over r}\)

where T is the surface tension and R is the radius of drop.

Explanation:

  • Excess pressure inside a liquid drop is given by

\(P= {2T \over r}\)

where T is the surface tension and R is the radius of drop.

  • The reason for this is in a drop there is only one liquid surface that is outside the drop. Inside the drop, there is only liquid.

\(P= 1 \times {2T \over r}={2T \over r}\)

So, Excess pressure inside a liquid drop of surface tension T and radius r is - 2T/r.

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