The radius of an approximately spherical nucleus is given by r =

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Quizplus · Accepted Answer

The radius of a nucleus is given by the formula r = r0A^(1/3), where r0 is a constant and A is the mass number of the nucleus. We can rewrite this formula in terms of the number of protons Z as r = r0(ZA)^(1/3). Comparing this formula with the options given, we see that option D matches this formula exactly, with r0 = r₀A and Z = 2. This suggests that option D is the correct choice for the radius of a helium nucleus. Option A contains an extra factor of Z, which would make the radius too large. Option B contains an incorrect power of Z (11/3 instead of 1/3) and also an extra factor of 3 in the denominator, which would make the radius too small. Option C is the same as option A but with A instead of Z, which is also incorrect. Option E has an extra factor of (AF1F1F1S1F1F1F10 Z) in the middle, which is not part of the formula for r.

The Radius of an Approximately Spherical Nucleus Is Given by R