If represents the initial number of nuclei of a radioactive element, what fraction of the original n β Nuclear Chemistry and Radioactivity Chemistry Question
Question
If $N_0$ represents the initial number of nuclei of a radioactive element, what fraction of the original nuclei will have **decayed** after $n$ half-lives?
Answer: B
π‘ Solution & Explanation
The fraction of nuclei remaining undecayed after $n$ half-lives is $(1/2)^n$. Therefore, the fraction that has decayed is the initial amount ($1$) minus the remaining amount, which gives $1 - (1/2)^n$.
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