What is the half-life of a radioactive sample (in minutes), if its mean life is 200s?
Correct answer: D. 2.31 min
- A. 0.69 min
- B. 2 min
- C. 2.57 min
- D. 2.31 min
Explanation
Mean life (τ) and half-life (T₁/₂) are related by the formula:T₁/₂ = τ × ln(2) ≈ τ × 0.693τ = 200 sT₁/₂ = 200 × 0.693 = 138.6 secondsConvert to minutes:138.6 ÷ 60 ≈ 2.31 minutes
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