A storage facility contains equal initial numbers of nuclei of two radioactive…

PHYSICS · Multi-part · GCSE · Physics · Atomic Structure · Atomic Structure

Problem

A storage facility contains equal initial numbers of nuclei of two radioactive isotopes, A and B, that emit comparable radiation. • Isotope A has a decay constant of 1.6×10−9 s−11.6\times10^{-9}\,\text{s}^{-1}. • Isotope B has a half-life of 11 yr11\,\text{yr}. (a) Calculate the half-life of isotope A in years. (b) Calculate the decay constant of isotope B in s−1\text{s}^{-1}. (c) Rank isotopes A and B in order of nuclear stability, from most to least stable, and justify your ranking quantitatively. (d) After 25 years25\,\text{years} of storage, which isotope contributes the larger share of the remaining activity? Quantitatively compare their activities and explain the physical reason for the difference.

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