1000 drops of radius 1 mm each falling downwards with a terminal velocity of 5 cms`""^(-1)` coalesce to form a bigger drop. What will be the terminal velocity of the bigger drop?

Explanation

To solve the problem of finding the terminal velocity of a bigger drop formed by the coalescence of 1000 smaller drops, we can follow these steps:

### Step 1: Understand the Volume Conservation
When 1000 small drops coalesce to form a bigger drop, the total volume before and after the coalescence remains constant.

The volume \( V \) of a single small drop (with radius \( r \)) is given by:
\[
V = \frac{4}{3} \pi r^3
...