Question

If the nuclear radius of \( ^{27}Al \) is 3.6 Fermi, the approximate nuclear radius of \( ^{64}Cu \) in Fermi is

• A. 4.8
• B. 3.6
• C. 2.4
• D. 1.2

Hint:

The nuclear radius increases with the mass number of the nucleus, following the formula \( R \propto A^{1/3} \).

Answer 1

The Correct Option is A

Step 1: Nuclear Radius Formula.
The nuclear radius \( R \) is related to the mass number \( A \) by the formula: \[ R = R_0 A^{1/3} \] where \( R_0 \) is a constant, and \( A \) is the mass number of the nucleus. For \( ^{27}Al \) and \( ^{64}Cu \), using the formula, we calculate the radius of \( ^{64}Cu \).
Step 2: Conclusion.
The correct answer is (A), 4.8 Fermi.