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If the nuclear radius of 27/13 Al is 3.6 Fermi, the approximate nuclear radius of 64/29 Cu in Fermi is:

1. 2.4
2. 1.2
3. 4.8
4. 3.6

Correct answer: 4.8

Solution

The nuclear radius is proportional to the cube root of the mass number (A). Using the relation R ∝ A^(1/3), the ratio of radii is (R_Cu / R_Al) = (A_Cu / A_Al)^(1/3). Substituting A_Cu = 64 and A_Al = 27, we get R_Cu = 3.6 × (64/27)^(1/3) ≈ 4.8 Fermi.

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