Radioactivity (safety): Given the half-lives below, which radioactive isotope would be the most dangerous to handle (highest activity per amount)? Assume equal initial amounts; shorter half-life ⇒ greater activity. Choose the correct option.
IIT JEE
Chemistry
Difficulty: Easy
Choose an option
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A3 billion years
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B100 years
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C0.01 minute
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D13 days
Answer
Correct Answer: 0.01 minute
Explanation
Concept/ApproachActivity A ∝ λ (decay constant), and λ = ln2 / T½. Thus, for the same number of nuclei, shorter half-life means higher activity and greater handling hazard.
ComparisonT½ = 0.01 min (≈0.6 s) ≪ 13 days ≪ 100 years ≪ 3 billion years.
Final Answer0.01 minute