The radii of two air bubbles are in the ratio 4 : 5. Find the ratio of excess pressure inside them. Also compare the works done in blowing these bubbles.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Define the radii of the two air bubbles
Let the radius of the first air bubble be \( r_1 = 4R \) and the radius of the second air bubble be \( r_2 = 5R \).

### Step 2: Write the formula for excess pressure inside an air bubble
The excess pressure \( P \) inside an air bubble is given by the formula:
\[
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