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Question

A soap bubble is given negative charge, its radius will :

A
increase
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B
decrease
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C
remain unchanged
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D
fluctuate
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Solution

The correct option is A increase
For a soap bubble (electrified)
Excess pressure=P=PiPo=4Tr
T= surface tension, r=radius
Force due to excess pressure balances surface tension
When bubble is charged
Pexcess=Pelectrostatic+4Tr
Pelectrostatic=σ22ε0=12ε0q216π2r4
Pexcess=4r[Tq2128π2ε0r3]....(A)
Surface tension decreases. (P1r), means radius increases. In equation (A), q2 is not affected by positive or negative charge hence , whether it is given a positive or negative charge it always expands in radius.

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