Q.

A soap bubble (surface tension = T) is charged to a maximum surface density of charge = σ. When it is just going to burst, its radius R is given by

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a

R=σ28ε0T

b

R=8ε0Tσ2

c

R=σ8ε0T

d

R=8ε0Tσ

answer is B.

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Detailed Solution

The pressure due to surface tension =4TR

The pressure due to electrostatic forces =σ22ε0

Just before the bubble bursts.

4TR=σ22ε0  or  R=8Tε0σ2

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