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The pressure inside a soap bubble of 50 mm diameter is 25 N/m2 above atmospheric pressure. The surface tension in soap film would be
1. 0.156 N/m
2. 0.312 N/m
3. 0.624 N/m
4. 0.078 N/m

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Correct Answer - Option 1 : 0.156 N/m

Concept:

Surface tension on a liquid droplet (Spherical droplet of water): Pressure intensity inside the droplet:

\(p = \frac{{4\sigma }}{d}\)

Surface tension on a hollow bubble (Soap bubble): Pressure intensity inside the droplet:

\(p = \frac{{8\sigma }}{d}\)

where σ is the surface tension of the liquid.

Calculation:

\({\rm{\Delta }}P = \frac{{8\sigma}}{d}\)

\(\sigma = \frac{{\Delta P\times d}}{8 } =\frac{{25\times 0.05}}{8 }= 0.15625 \ N/m\)

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