Moderate

A given radioactive sample is reduced from 20 g to 1.25 g in 40 days. Its half-life would be:

Correct answer: A. 10 days

  • A. 10 days
  • B. 8 days
  • C. 5 days
  • D. 6 days

Explanation

Initial mass = 40gFinal mass = 1.25gNumber of half lives = nInitial mass x (1 / 2)n = final mass(1 / 2)n = final mass / initial mass ==> 0.5n = 1.25 / 200.5n = 0.0625 ==> 0.54 = 0.0625n = 4Total number of days = 40Half life = 40 / n ==> half life = 40 / 4 =10

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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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