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
  • A
    3 billion years
  • B
    100 years
  • C
    0.01 minute
  • D
    13 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

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