Nucleus: Practice Problem & Solution
The radius of germanium (Ge) nuclide is measured to be twice the radius of $^{9}_{4}Be$. The number of nucleons in Ge are: (2006)
Solution Explained:
To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:
Given $R_{Ge} = 2 R_{Be}$, we can write $R_0 A_{Ge}^{1/3} = 2 R_0 (9)^{1/3}$. Canceling $R_0$ and cubing both sides gives $A_{Ge} = 2^3 \times 9 = 8 \times 9 = 72$. The number of nucleons is 72.
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