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Physicists using the radioactive decay equation y=y0 e^-k t call the number 1 / k the mean life of a radioactive nucleus. The mean life of a radon- 222 nucleus is about 1 / 0.18 ≈ 5.6 days. The mean life of a carbon- 14 nucleus is more than 8000 years. Show that 95 % of the radioactive nuclei originally present in any sample will disintegrate within three mean lifetimes, that is, by time t=3 / k. Thus, the mean life of a nucleus gives a quick way to estimate how long the radioactivity of a sampl
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