# The unit of length convenient on the nuclear scale is a fermi: 1 f = 10^–15 m. Nuclear sizes obey roughly the following empirical relation

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The unit of length convenient on the nuclear scale is a fermi: 1 f = 10–15 m. Nuclear sizes obey roughly the following empirical relation: = 01/3

where r is the radius of the nucleus, A its mass number, and r0 is a constant equal to about, 1.2 f. Show that the rule implies that nuclear mass density is nearly constant for different nuclei. Estimate the mass density of sodium nucleus. Compare it with the average mass density of a sodium atom obtained in Exercise. 2.27.

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This relation shows that nuclear mass depends only on constant ro . Hence, the nuclear mass densities of all nuclei are nearly the same. Density of sodium nucleus is given by,