The half-life of a radioactive isotope is 140 days. In how many days does the decay rate of a sample of this isotope decrease to one-fourth of its initial decay rate?

Correct answer: B. 280

  • A. 35
  • B. 280
  • C. 105
  • D. 210

Explanation

The decay rate decreases in the same way as the number of nuclei. To decrease to one. fourth (1/2)² of the initial rate, two half. lives must pass. Therefore, the time required is 2 × 140 days = 280 days.

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Atomic nuclei contain protons and neutrons, with nuclear size, mass defect and binding energy describing their stability. The work covers alpha, beta and gamma decay, decay equations, half-life and decay rate, along with radiation safety and medical applications such as imaging, radiotherapy and tracers.

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