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A Levels Physics (9702)•9702/13/M/J/19
Question 39 from 9702/13/M/J/19

Explanation

Nuclear size is femtometer scale

Steps:

  • Atomic diameter is approximately 10^{-10} m, based on electron cloud extent.
  • Nucleus occupies a small central volume, with radius R ≈ 1.2 × 10^{-15} m × A^{1/3} for mass number A.
  • For typical A ≈ 100, R ≈ 5 × 10^{-15} m, so diameter ≈ 10^{-14} m to 10^{-15} m.
  • Order of magnitude rounds to 10^{-15} m.

Why A is correct:

  • Nuclear radius formula R = R₀ A^{1/3} with R₀ = 1.2 fm yields diameters around 2–10 fm (10^{-15} m) for light to heavy nuclei.

Why the others are wrong:

  • B: Matches atomic diameter (angstrom scale), not nuclear.
  • C: Equals 1 cm, a macroscopic length irrelevant to subatomic scales.
  • D: Equals 100 km, absurdly large for any microscopic structure.

Final answer: A

Topic: Atoms, nuclei and radiation

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