nuclear radius formula

Question

Nuclear radius R approximated by?

RankGuru · Accepted Answer

1. **Assumption**: A nucleus is assumed to be spherical with constant density.
2. **Density Logic**: Since density = mass / volume, and mass is proportional to mass number $A$, then volume $\propto A$.
3. **Volume Relation**: $\frac{4}{3} \pi R^3 \propto A \implies R^3 \propto A$.
4. **Radius Formula**: $R = R_0 A^{1/3}$, where $R_0$ is a constant (approx. $1.1$ to $1.2$ fm).
5. **Meaning**: The radius of a nucleus increases with the cube root of the number of nucleons.

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nuclear radius formula

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