Okay kiddo, so you know how in math we use equations to solve problems? Well, the Bateman equation is a special equation that helps us understand how radioactive atoms decay over time.
Let's say you have a bunch of atoms that are radioactive (aka they're going to fall apart and turn into other atoms eventually). We can use the Bateman equation to figure out how many of these atoms will decay at different times.
The Bateman equation has a few different parts, but we'll just focus on two for now. The first part tells us how fast the radioactive atoms are decaying. This is called the decay rate.
The second part tells us how long the atoms have been decaying for. This is called the time elapsed.
So when we put these two parts together in the Bateman equation, we can figure out how many of the radioactive atoms have decayed at any given time.
Think of it like a game of Jenga. When the game first starts, all the blocks (the radioactive atoms) are standing up. But as time goes on, some of those blocks (atoms) start to fall over (decay). With the Bateman equation, we can predict how many blocks (atoms) will fall over at different times throughout the game (decay rate and time elapsed).
I hope that helps, little one!