Use the semiempirical mass equation to compute, for given A, the relation between Z and N for a nucleus that has Sn 4 0 (the neutron "drip line"). Compute N/Z for A 4 100.

Model the effective potential seen by the least bound proton in the nucleus as a square well with depth Bn inside the nuclear radius R, plus a repulsive Coulomb potential from a uniform charge distribution of the other protons inside the nucleus. Estimate Br for 209 Bi (mass number A = 209 and atomic number Z = 83), the largest stable isotope. How is Bn related to the depth of the nuclear potential Vo? Hint: The electrostatic potential a distance r from the center of a uniformly charged sphere of radius R and total charge Q is given by: for r < R. Q V = (3R² — r²) 8πTEOR³

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