Many heavy radioactive nuclei decay to form daughter nuclei which are themselves radioactive, and which decay to form granddaughter nuclei which are themselves radioactive, and which decay… forming what we call decay chains.
Since some of the nuclei along the chain have pretty long half-lives, it takes decades for the decay chain to complete (finally arriving at a stable nucleus). This is the main drawback of energy production using nuclear fission. The storage and safe keeping of the used nuclear fuel is a pain in the ***. This is also why major accidents at nuclei plants (think Chernobyl, Fukushima) leave the sites uninhabitable for decades.
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Concept Test
Applet
Interesting