If a drop of liquid breaks into smaller droplets, it result in lowering of temperature of the droplets. Let a drop of radius R, breaks into N small droplets each of radius r. Estimate the drop in temperature.

Explanation

To solve the problem of estimating the drop in temperature when a drop of liquid breaks into smaller droplets, we can follow these steps:

### Step 1: Understand the Initial and Final States
We start with a single drop of liquid with radius \( R \). When it breaks into \( N \) smaller droplets, each with radius \( r \), we need to analyze the change in surface energy due to this process.

### Step 2: Calculate the Surface Area
The surface area of the original drop with radius \( R \) is given by:
\[
...