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The carbon 14 produced reacts with oxygen atoms in the atmosphere to form carbon dioxide.
This carbon dioxide is no different from those produced by carbon 12 and carbon 13; hence, carbon dioxide with carbon 14 has the same fate as those produced with the other carbon isotopes.
The other assumption is the corollary of the first; the biosphere has the same overall concentration of radiocarbon as the atmosphere due to equilibrium.
Radiocarbon’s entry into the global carbon cycle starts in the atmosphere where it is formed by the interaction of neutrons produced by cosmic rays with nitrogen atoms.
Even after nuclear weapon testing was banned, the bomb effect still remains.
There are two human activities recognized to have irreparably changed the global radiocarbon levels—the burning of fossil fuel and nuclear weapons testing.The radiocarbon dating method is based on certain assumptions on the global concentration of carbon 14 at any given time.One assumption is that the global levels of carbon 14 (also called radiocarbon) in the atmosphere has not changed over time.The samples represent fabrics made in the Americas from 1800 to 1960.If you know an approximate date of a piece, you can turn to that section and compare the swatches to your fabric.