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A soap bubble (surface tension=T) is cha...

A soap bubble (surface tension`=T`) is charged to maximum surface density of charge`= sigma`. When it is just going to burst. Its radius `R` is given by:

A

`R=(sigma^(2))/(8epsilon_(0)T)`

B

`R=8epsilon_(0)T/(sigma^(2))`

C

`R=(sigma)/(sqrt(8(epsilon_(0)T))`

D

`R=(sqrt(8epsilon_(0)T))/(sigma)`

Text Solution

Verified by Experts

The correct Answer is:
B
The pressure due to surface tension `=(4T)/R`
The pressure due to electrostatic forces `=(sigma^(2))/(2epsilon_(0))`
Just before the bubble bursts
`(4T)/R=(sigma^(2))/(2epsilon_(0))` or `R=(8Tepsilon_(0))/(sigma^(2))`
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