Let the radius of the nucleus of an atom with mass number be , and the radius of the nucleus of an a — Atomic Structure Chemistry Question
Question
Let the radius of the nucleus of an atom with mass number $A = 64$ be $R_1$, and the radius of the nucleus of an atom with mass number $A = 8$ be $R_2$. Calculate the exact ratio $\frac{R_1}{R_2}$.
Answer: 2
💡 Solution & Explanation
The radius of a nucleus is given by $R = R_0 A^{1/3}$. Therefore, $\frac{R_1}{R_2} = (\frac{A_1}{A_2})^{1/3} = (\frac{64}{8})^{1/3} = (8)^{1/3} = 2$. [43, 44]
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