Cosmic rays bombard the CO2 in the atmosphere and, by nuclear reaction, cause the formation of the radioactive carbon isotope

This isotope has a half-life of 5730 years. It mixes into the atmosphere uniformly and is taken up in plants as they grow. After a plant dies, the ¹⁴C decays over the ensuing years. How old is a piece of wood that has a ¹⁴C content which is only 9 percent as large as the average ¹⁴C content of new-grown wood?

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14C. 6