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Problem 3 - Olympiad

The radius of a nucleus in an isotope of carbon (A=12) is R. What is the radius of a nucleus of an isotope of uranium (A=238)?

Correct: A

Nuclear radius R ∝ A^(1/3). For A₁ = 12 and A₂ = 238, R₂/R₁ = (A₂/A₁)^(1/3). Thus, R₂ = R₁(238/12)^(1/3).