The isotope ⁶⁴Zn has a nuclear radius of 4.8 ×10−¹⁵ m.Which of the following is the mass number of an isotope for which the nuclear radius is 6.8 ×10−¹⁵ m? A) 182 B) 125 C) 145 D) 96

Question

Quizplus · Accepted Answer

The nuclear radius R is proportional to the cube root of the mass number A (R ∝ A^(1/3)). Using the given radii, (6.8/4.8) = (A/64)^(1/3). Solving for A gives approximately 182.

The Isotope 64Zn Has a Nuclear Radius of 4

The Isotope ⁶⁴Zn Has a Nuclear Radius of 4