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  4. The volume of a nucleus is directly proportional to .........

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Q. The volume of a nucleus is directly proportional to .........

KCETKCET 2007Nuclei

Solution:

Radius of nucleus $R = R_0A^{1/3}$
where $R_0 = 1.2 \times 10^{-15}$ m
Volume of nucleus $ = \frac{4}{3} \pi R^{3} $
$ = \frac{4}{3} \pi\left[R_{0} A^{1/3}\right]^{3} $
$ = \frac{4}{3} \pi R_{0}^{3} A$
$ \therefore \; V \propto A $