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⚛️ Physics  ·  Nuclei  ·  NEET & JEE

Two nuclei have mass numbers 125 and 27. The ratio of their radii is:

Answer: 5:3.

  • A 3:5
  • B 5:3
  • C 25:9
  • D 125:27

Correct answer: B. 5:3

Explanation: R &prop; A<sup>1/3</sup>, so R<sub>1</sub>/R<sub>2</sub> = (125/27)<sup>1/3</sup> = 5/3.

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.

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