# 12 3 dating with radioactivity

*22-Dec-2019 23:11*

By looking at the ratio of carbon-12 to carbon-14 in the sample and comparing it to the ratio in a living organism, it is possible to determine the age of a formerly living thing fairly precisely. So, if you had a fossil that had 10 percent carbon-14 compared to a living sample, then that fossil would be: t = [ ln (0.10) / (-0.693) ] x 5,700 years t = [ (-2.303) / (-0.693) ] x 5,700 years t = [ 3.323 ] x 5,700 years Because the half-life of carbon-14 is 5,700 years, it is only reliable for dating objects up to about 60,000 years old.

Because the cosmic ray bombardment is fairly constant, there’s a near-constant level of carbon-14 to carbon-12 ratio in Earth’s atmosphere.When an element undergoes radioactive decay, it creates radiation and turns into some other element.Of course, the best way to understand something is to model it, because the last thing you want to do at home is experiment with something radioactive. Before doing any modeling, you must first understand one key idea: Each atom in a sample of material has an essentially random chance to decay.This is called the half-life—the amount of time required for one-half of a given number of atoms to disintegrate. The plot of the number of tiles as a function of the number of turns looks like this: Again, I made radioactive spheres disappear when they decayed.

This is fine, because when carbon-14 decays, it produces nitrogen-14. But you could imagine that if you knew that the sample started with 20 percent blue spheres and you knew their half-life, then you could determine the age by examining one frame from the animation.If you're seeing this message, it means we're having trouble loading external resources on our website.