A neutron star is an object with a mass of about \(1.4 M_{\odot}\), where the solar mass \(M_{\odot}=2 \times 10^{30}\) \(\mathrm{kg}\). The neutron star is aggregated to have density equal to that of the nuclear matter determined in the question 5. Determine the radius of a neutron star.

Question 5:

The mass of an atom is concentrated in the nucleus. The nuclear radius is expressible in terms of the mass number upper A A by the relation upper R equals 1.2 A Superscript 1 divided by 3 R = 1.2A1/3 fm, where 1 fm=10 Superscript negative 15 10−15 m. The quantity upper A A represents the number of nucleons, that is, the sum of protons and neutrons. Estimate the nuclear density in terms of the density of water.