Yes, it is conceivable for a single nucleus to disintegrate inside a single second. According to the half-life, all of the atoms will disintegrate in 5730 years. The atom that will disintegrate when cannot be predicted, though.
The half-life, or the duration it takes for one radioactive isotope to decay in half, is an intriguing and practical element of radioactive decay. An individual radioactive isotope's half-life remains unaffected by environmental factors and seems to be independent of the isotope's starting concentration.
Any atom has a finite probability to decay after each and every period of time because everything is totally probabilistic. Therefore, every given atom could decay in a single second.
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