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  4. The size of the nucleus of an atom of mass number A is proportional to

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Q. The size of the nucleus of an atom of mass number $A$ is proportional to

Delhi UMET/DPMTDelhi UMET/DPMT 2009Atoms

Solution:

Nuclear radius is proportional to $A^{1 / 3}$,
where $A$ is the mass number of nucleus,
ie, $R \propto A^{1 / 3}$.
$\Rightarrow R=R_{0} A^{1 / 3}$.
where $R_{0}=1.2 \times 10^{-15} m$