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What will be the value of pressure inside a soap bubble of diameter 4 cm? The surface tension of water is 0.0736 N/m.
1. 7.36 N/m2
2. 1.84 N/m2
3. 3.68 N/m2
4. none of these

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Correct Answer - Option 4 : none of these

Concept:

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

\(p = \frac{{4σ }}{d}\)

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

\(p = \frac{{8σ }}{d}\)

where σ is the surface tension of the liquid.

Calculation:

Given:

d = 4 cm, σ = 0.0736 N/m

\({\rm{Δ }}P = \frac{{8σ}}{d}\)

\({\rm{Δ }}P = \frac{{8\ \times \ 0.0736}}{0.04}\)

Δ = 14.72 N/m2

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