An isolated and charged spherical soap bubble has a radius 'r' and the pressure inside is atmospheric. If 'T' is the surface tension of soap solution, then charge on drop is:

Options

A. `2sqrt((2rT)/(epsilon_(0)))`
B. `8pirsqrt(2r T epsilon_(0))`
C. `8pirsqrt(r T epsilon_(0))`
D. `8pirsqrt((2rT)/(epsilon_(0)))`

Explanation

To find the charge \( Q \) on the isolated charged spherical soap bubble with radius \( r \), we can follow these steps:

### Step 1: Understand the Pressure Inside the Soap Bubble
The pressure inside a soap bubble is greater than the atmospheric pressure outside. The excess pressure \( P \) inside a soap bubble is given by the formula:
\[ P = \frac{4T}{r} \]
where \( T \) is the surface tension of the soap solution and \( r \) is the radius of the bubble.
...