What is the excess pressure inside a bubble of soap solution of radius 5.00mm, given that the surface tension of soap solution at the temperature `(20^(@)C)` is `2.50xx10^(-2)Nm^(-1)`? If an air bubble of the same dimension were formed at a depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble? (1atm. is 1.01 xx 10^(5)Pa`).

Explanation

To solve the problem, we need to calculate the excess pressure inside a soap bubble and then determine the pressure inside an air bubble formed at a certain depth in the soap solution.

### Step-by-Step Solution:

1. **Calculate the Excess Pressure Inside the Soap Bubble:**
The formula for the excess pressure inside a soap bubble is given by:
\[
\Delta P = \frac{4S}{R}
...