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 step by step, we will first calculate the excess pressure inside the soap bubble and then the pressure inside the air bubble formed at a certain depth.

### Step 1: Calculate the Excess Pressure Inside the Soap Bubble

The formula for the excess pressure \( P \) inside a soap bubble is given by:

\[
P = \frac{4S}{R}
...