The activity of a radioactive sample falls from 640 counts per minute to 80 counts per minute in 15 days. What is the half-life?

Answer and explanation

Correct answer: B. 5 days

  1. Step 1: 640 → 320 → 160 → 80 is three halvings.
  2. Step 2: Three half-lives take 15 days, so one half-life = 15 ÷ 3 = 5 days.
Answer
5 days.
Why not the others: 3 days: this is the number of half-lives. 7.5 days: only one halving was assumed to take 15 days half. 15 days: the total time was used.

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