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:

Options

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(8 epsilon_(0)T))/(sigma)`

Answer

b

Explanation

The pressure due to surface tension `=(4T)/(R )`
The pressure due to electrostatic force`=(sigma^(2))/(2 epsilon_(0))`
Just before the bubble bursts. `(4T)/(R )=(sigma^(2))/(2 epsilon_(0))` or `R=(8Tepsilon_(0))/(sigma^(2))`