THE PRACTICE STUDIO

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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Nuclear size

A radius law used for an area

In the spherical nuclear model R = r₀A^(1/3), compare mass numbers 216 and 64 with the same r₀.

Find the ratio of geometric cross-sectional areas, area216/area64.

Organize the givens & assumptions
  • Mass numbers: 216 and 64
  • Radius model: R = r₀A^(1/3)
  • Same r₀; geometric area πR²

Use the approximate spherical geometry and cross-sectional area πR². This is not a claim about a measured nuclear-reaction cross section.

  1. A3/23/2
  2. B27/827/8
  3. C4/94/9
  4. D9/49/4

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