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The radius of germanium (Ge) nuclide is measured to be twice the radius of 9/4 Be. The number of nucleons in Ge are:

1. 74
2. 75
3. 72
4. 73

Correct answer: 74

Solution

The radius of a nucleus is proportional to the cube root of its mass number (A). If the radius of Ge is twice that of Be, then (A_Ge)^(1/3) = 2 × (A_Be)^(1/3). Solving for A_Ge using A_Be = 9 gives A_Ge = 74.

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