Answer :
The radius of this nucleus is [tex]4.3054\times 10^{-15}[/tex]m.
What is a nucleus?
A core of the atom that is positively charged. It is made up of two different subatomic particle kinds that are closely clustered. Protons, which have a positive electric charge, and neutrons, which have no electric charge, are the particles.
The nucleus has a radius of about [tex]10^{-15}[/tex]m. The nucleus has a diameter of about [tex]10^{-15}[/tex]m, which is 100,000 times smaller than the diameter of an atom, which is on the order of [tex]10^{-10}[/tex]m.
The average radius of the nucleus is given by the equation,
[tex]R = R_{0} A^ {\frac{1}{3} }[/tex]
Here R is the average nuclear radius
[tex]R_{0}[/tex] is the Fermis constant = [tex]1.1 \times 10^{15}[/tex]m
A is the mass number = 28 protons + 32 neutrons = 60
Calculating the nuclear radius from mass number:
[tex]R = 1.1\times 10^{-15} m\times 60^{1/3} \\[/tex]
[tex]R=1.1\times10^{-15} \times 3.914[/tex]
[tex]R=4.3054\times 10^{-15}[/tex]m
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