## a. \text { The orbital radius is } 7.9 \mathrm{cm} \text { for } 12 \mathrm{C} \text { and } 8.2 \mathrm{cm} \text { for }^{13} \mathrm{C} \text { . }b. \begin{array}{l}{\text { The orbital radius and masses are related by the equation } \frac{r_{1}}{r_{2}}=\sqrt{\frac{m_{1}}{m_{2}}} . \text { This }} \\ {\text { may be verified by substituting one of the previous radii in to the equation. }} \\ {\text { For } 13 \mathrm{C}, m_{2} \approx 13 \mathrm{amu} \text { , and } r_{2}=8.2 \mathrm{cm} . \text { Then } r_{1}=r_{2} \sqrt{\frac{m_{1}}{m_{2}}}=8.2 \cdot \sqrt{\frac{12}{13}}=} \\ {7.9 \mathrm{cm}, \text { the same result predicted by the calculation in problem } 6 \mathrm{a} \text { . }}\end{array}

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