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⚛️ Physics  ·  Nuclei  ·  NEET & JEE

Radioactive decay law: N(t) = N₀ e<sup>-lambda t</sup>. Activity A = dN/dt in magnitude is:

Answer: lambda N(t).

  • A lambda N(t)
  • B lambda/N(t)
  • C N(t)/lambda
  • D lambda²N(t)

Correct answer: A. lambda N(t)

Explanation: Activity A = |dN/dt| = lambda × N(t). Activity is proportional to number of undecayed nuclei.

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 →