Thousand small mercury drops each of the radius `r` and charge `q` coalesce together to form one spherical drop. What is the ratio of the potential of the bigger drop to that of the smaller one?

Explanation

To solve the problem, we need to find the ratio of the electric potential of a larger drop formed by the coalescence of smaller drops to that of the smaller drops. Let's break down the solution step by step.

### Step 1: Understand the Problem
We have 1000 small mercury drops, each with a radius \( r \) and charge \( q \). When these drops coalesce, they form one larger spherical drop. We need to find the ratio of the potential of the larger drop to that of the smaller drop.

### Step 2: Calculate the Potential of a Small Drop
The electric potential \( V \) of a spherical drop is given by the formula:
\[
...