Q1. Assume that the rate at which radioactive nuclei decay is proportional to the nation of such nuclei that are present in a given sample. In certain sample 10% of the original number of radioactive nuclei have undergone disintegration in a period of 100 years. a) What percentage of the original radioactive nuclei will remain after 1000 years? b) In how many years will only one-fourth (1/4) of the original number remain?

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