Question detail
A radioactive sample has an initial activity of 80 Bq. After 3 half-lives, what is the remaining activity of the sample? Use the fusion core context to keep Half-lives and the random nature of radioactive decay distinct from nearby atomic and nuclear radiation ideas.
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At a glance
Question
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exam_style
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Topic
Atoms and nuclear radiation
Question
A radioactive sample has an initial activity of 80 Bq. After 3 half-lives, what is the remaining activity of the sample? Use the fusion core context to keep Half-lives and the random nature of radioactive decay distinct from nearby atomic and nuclear radiation ideas.
Answer
10 Bq In this fusion core context, the answer must stay anchored to Half-lives and the random nature of radioactive decay and the learning objective: Calculate the number of half-lives that have passed from a change in activity or count rate..
Explanation
10 Bq is correct because the worked solution uses remaining = initial / 2^n and substitutes the values from the question. This keeps activity, count rate, atomic number, mass number and neutron count distinct for Atomic structure. Use the fusion core context to keep Half-lives and the random nature of radioactive decay distinct from nearby atomic and nuclear radiation ideas. This avoids collapsing the idea into nearby concepts such as isotope notation, count rate, half-life, alpha, beta, gamma, contamination, irradiation, fission or fusion.
Common mistake
Counting Half-Lives Mistake
Students often miscalculate the number of half-lives that have passed by not correctly halving the initial count rate multiple times.
To fix this, students should clearly outline the initial count rate and systematically halve it for each half-life until they reach the final count rate, ensuring they count the number of halvings accurately.
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