Consider a neutron star whose mass equals 2M . (a) Compute the stars radius. (b) If the neutron star is rotating at 0.5 rev>s

Consider a neutron star whose mass equals 2M_Θ.

(a) Compute the star’s radius.

(b) If the neutron star is rotating at 0.5 rev>s and assuming its density to be uniform, what is its rotational kinetic energy? 

(c) If its rotation slows by 1 part in 10⁸ per day and the lost kinetic energy is all radiated, what is the star’s luminosity?