Nuclei · Class 12 · CBSE · Science Physics

A radioactive sample has a half-life of 5 ext{ years}. What fraction of the original sample will remain undecayed after 15 ext{ years}?

Practice question from Nuclei (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-F7CD74

A radioactive sample has a half-life of 5extyears5 ext{ years}. What fraction of the original sample will remain undecayed after 15extyears15 ext{ years}?

  1. A.1/21/2
  2. B.1/41/4
  3. C.1/81/8Correct answer
  4. D.1/161/16

Solution

The number of half-lives n=t/T1/2=15/5=3n = t / T_{1/2} = 15 / 5 = 3. The remaining fraction is (1/2)n=(1/2)3=1/8(1/2)^n = (1/2)^3 = 1/8.

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