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⚛️ Physics  ·  Nuclei  ·  NEET & JEE

A radioactive sample has a half-life of 20 minutes. The fraction of the sample that decays in 1 hour is:

Answer: 7/8.

  • A 7/8
  • B 1/8
  • C 3/4
  • D 1/4

Correct answer: A. 7/8

Explanation: 1 hour = 3 half-lives, so the fraction remaining is (1/2)<sup>3</sup> = 1/8 and the fraction decayed = 1 &minus; 1/8 = 7/8.

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 →