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(D) Radioactive decay is a spontaneous and statistical process governed by the laws of probability.For any given radioactive nucleus,the probability o

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Independent of the time of creation

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(D) Radioactive decay is a spontaneous and statistical process governed by the laws of probability.For any given radioactive nucleus,the probability of decay per unit time (decay constant,$\lambda$) is a characteristic property of that specific nuclide.This probability does not depend on the age of the nucleus or the history of its formation.Therefore,both nuclei,being of the same radioactive nuclide,have the same probability of decay regardless of whether they were created $5$ billion years ago or $5$ minutes ago.Thus,the probability of decay is independent of the time of creation.

Consider two nuclei of the same radioactive nuclide. One of the nuclei was created in a supernova explosion $5$ billion years ago. The other was created in a nuclear reactor $5$ minutes ago. The probability of decay during the next time interval is

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