Two sealed sources each contain of a pure radioactive isotope

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

Two sealed sources each contain 1.0 g1.0\,\text{g} of a pure radioactive isotope. Source R has a half-life of 2.0 h2.0\,\text{h}, while Source S has a half-life of 20 h20\,\text{h}. Which statement best describes their activities immediately after preparation? (a) The two sources have equal activities because each contains the same mass of radioactive material. (b) Source S has the greater activity because its nuclei are more stable and therefore more numerous. (c) Source R has the greater activity because its shorter half-life gives it a larger decay constant. (d) Source R has the smaller activity because its nuclei disappear so quickly that very few decays occur each hour.

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