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⚛️ Physics  ·  Nuclei  ·  NEET & JEE

The activity of a radioactive sample falls to one-eighth of its initial value in 15 days. Its half-life is:

Answer: 5 days.

  • A 3 days
  • B 5 days
  • C 7.5 days
  • D 15 days

Correct answer: B. 5 days

Explanation: 1/8 = (1/2)<sup>3</sup>, so 3 half-lives elapse in 15 days, giving a half-life of 5 days.

Binding Energy per Nucleon vs Mass NumberMass number ABE/nucleonFe-56 (peak, most stable)FUSION region (light → medium)FISSION region (heavy → medium)Both processes release energy by moving nuclei toward the Fe-56 peak

Binding energy per nucleon rises sharply for light nuclei, peaks around iron-56 (the most stable nucleus), then slowly declines for heavier nuclei - which is exactly why fusing light nuclei or splitting heavy nuclei both release energy: each moves the products toward this stability peak.

Concept context

Radioactivity, nuclear reactions, fission, fusion, and binding energy.

Read the full Nuclei notes →