If the nuclear radius of²⁷ Al is 3.6 Fermi, the approximate nuclear radius of ⁶⁴Cu in Fermi is

2.4

1.2

4.8

3.6

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Solution

4.8

space Nuclear space radisus space straight r proportional to straight A to the power of 1 divided by 3 end exponent comma space where space straight A space is space mass space number straight r space equals straight r subscript straight o space straight A to the power of 1 divided by 3 end exponent straight r equals straight r subscript straight o space left parenthesis 27 right parenthesis to the power of 1 divided by 3 end exponent space equals space 3 straight r subscript straight o straight r subscript straight o space equals space fraction numerator 3.6 over denominator 3 end fraction space equals space 1.2 space fm For space Cu presuperscript 64 straight r equals space straight r subscript straight o straight A to the power of 1 divided by 3 end exponent space equals space 1.2 space fm space left parenthesis 64 right parenthesis to the power of 1 divided by 3 end exponent space equals space 4.8 space fm

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