A neutron star has a density equal to that of the nuclear matter. Assuming the star to be spherical, find the radius of a neutron star whose mass is 4.0 × 1030 kg (twice the mass of the sun).
Given mass of star(M) = 4 × 1030 kg
We know,
Density of nuclear matter(D) = 2.3 × 1017 kg/m3
Again, Volume [As the star is assumed to be a sphere]
[ R = Radius of the neutron star]
So equating the expressions of volume we can say,
⇒
⇒
Hence radius of the star is 16.07 km