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Question

A soap bubble of radius 3 cm is charged with surface charge density σ such that σ2ϵ0=0.4 SI units. The excess pressure inside the bubble in SI unit (surface tension of soap solution =3×103 N/m) is:

A
0.1
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B
0.2
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C
0.5
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D
0.25
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Solution

The correct option is B 0.2

In a charged soap bubble surface tension T acts inward.
The repulsive force due to charging acts outward.
σ22ϵ0 - Pressure due to the repulsive force
4TR is the excess pressure due to surface tension
Pexcess=4TRσ22ϵ0=4×3×1033×1020.42=0.40.2=0.2

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