Answer :

The equation for the radius of the nucleus is given by,


r = r0 A1/3


Volume on the nucleus, V =


=


=


Mass number is given in the problem as, A.


Thus,


M = Mass number× Mass of single Nucleus


= A×1.67×10-27 kg


( Mass of single Nucleus = 1.67×10-27 kg)


Density, ρ =


= = kg/m3


This equation doesn’t have Mass number A and it has only one variable, Radius of the atom (r). Since, every atom has same radius then the density of sodium atom nuclei remains constant.


Density of sodium atom nucleus, ρ nucleus = kg/m3


2.29×1017 kg/m3


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