c) The radii of atomic nuclei are of the order of 5.0 x 10-15 m. (i) Estimate the minimum uncertainty in the momentum of a proton if it is confined within a nucleus. (ii) Take this uncertainty in momentum to be an estimate of the magnitude of the momentum. Use the relativistic relationship between energy and momentum E' = (mc?) + (pc) to obtain an estimate of the kinetic energy of a proton confined within a nucleus. (iii) For a proton to remain bound within a nucleus what must be the magnitude of the (negative) potential energy for a proton within the nucleus. Compare this with the potential energy for an electron in a hydrogen atom, that has a magnitude of a few 10's of eV