The radius of a nucleus of a mass number $A$ is directly proportional to:

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Accepted Answer

1. **Formula:** Experimental results show that the volume of a nucleus is directly proportional to its mass number $A$. Since the nucleus is roughly spherical, Volume $\propto R^3$. Therefore, $R^3 \propto A$, or $R \propto A^{1/3}$.
2. **Standard Equation:** The average radius $R$ of a nucleus is given by the relation $R = R_0 A^{1/3}$, where $R_0$ is a constant ($1.1 	imes 10^{-15}$ m) and $A$ is the mass number .
3. **Conclusion:** The radius is directly proportional to $A^{1/3}$.

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