A big drop is formed by coalescing 1000 small droplets of water. What will be the change in surface energy What will be the ratio between the total surface energy of the droplets and the surface energy of the big drop?

Explanation

To solve the problem of determining the change in surface energy when 1000 small droplets coalesce into a big drop, we will follow these steps:

### Step-by-Step Solution:

1. **Conservation of Volume**:
When the small droplets coalesce into a big drop, the volume is conserved.
- Let \( r \) be the radius of a small droplet and \( R \) be the radius of the big drop.
- The volume of one small droplet is given by:
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