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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Mean life of a radioactive population

Two different decay timescales

A parent isotope obeys exponential decay with half-life 6.0 hours.

Find its mean life.

Organize the givens & assumptions
  • T½ = 6.0 h
  • ln 2 ≈ 0.693 for interpretation

Constant decay constant λ (probability per nucleus per unit time) and single exponential survival law; ignore daughter activity.

  1. A6ln⁡2 h\frac6{\ln2}\ \mathrm h
  2. B6 h6\ \mathrm h
  3. C6ln⁡2 h6\ln2\ \mathrm h
  4. D12 h12\ \mathrm h

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