Radioactive Dating Radioactivity is often used in determining how old something is; this is known as radioactive dating.
When carbon is used the process is called radiocarbon dating, but radioactive dating can involve other radioactive nuclei. The trick is to use a half-life which is of the order of, or somewhat smaller than, the age of the object.
Carbon is used because all living things take up carbon from the atmosphere, so the proportion of carbon in the carbon in a living organism is the same as the proportion in the carbon in the carbon in the atmosphere. For many thousands of years this proportion has been about 1 atom of C for every 8.
When an organism dies the carbon slowly decays, so the proportion of C is reduced over time. Carbon has a half life of years, making it very useful for measuring ages of objects that are a few thousand to several tens of thousands of years old.
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To measure the age of something, then, you measure the activity of carbon, and compare it to the activity you'd expect it to have if it was brand new. Plugging these numbers into the decay equation along with the half-life, you can calculate the time period over which the nuclei decayed, which is the age of the object.
An example A sample of wood has an activity of 0. An equivalent piece of wood cut from a growing tree would have an activity of 0.
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How old is the sample?