Radioactive dating is called
The most motivated student will only get to a pretty small number of trials.
Why not get the help of a computer to do this repetitious work for you?
Carbon-14 (C-14), a radioactive isotope of carbon, is produced in the upper atmosphere by cosmic radiation.
The primary carbon-containing compound in the atmosphere is carbon dioxide, and a very small amount of carbon dioxide contains C-14.
This has to do with figuring out the age of ancient things.
If you could watch a single atom of a radioactive isotope, U-238, for example, you wouldn’t be able to predict when that particular atom might decay.
It then takes the same amount of time for half the remaining radioactive atoms to decay, and the same amount of time for half of those remaining radioactive atoms to decay, and so on. The amount of time it takes for one-half of a sample to decay is called the half-life of the isotope, and it’s given the symbol: It’s important to realize that the half-life decay of radioactive isotopes is not linear.
It takes a certain amount of time for half the atoms in a sample to decay.In that particular Project Idea, radioactive decay of isotopes is modeled by rolling dice.While that procedure is a great way to grasp the concept, it would certainly be a time-consuming and tedious process in the real world, even with samples of only 100 dice, which could scarcely be called a "large number." Furthermore, how many trials of rolling up to 100 dice over and over again—while accurately keeping track of the results—would you be willing to do by hand?This decay is an example of an exponential decay, shown in the figure below.Knowing about half-lives is important because it enables you to determine when a sample of radioactive material is safe to handle.