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If the nucleus 27/13 Al has nuclear radius of about 3.6 fm, then 125/32 Te would have its radius approximately as:

  1. 9.6 fm
  2. 12.0 fm
  3. 4.8 fm
  4. 6.0 fm

Correct answer: 6.0 fm

Solution

The nuclear radius is proportional to the cube root of the mass number (A). Using the formula R = R₀A^(1/3), where R₀ is the proportionality constant, we calculate the radius of 125/32 Te relative to 27/13 Al. Since R₁/R₂ = (A₁/A₂)^(1/3), substituting A₁ = 125 and A₂ = 27 gives R₂ ≈ 6.0 fm.

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