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.
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- Sketch the potential for a-decay, assuming it can be modelled as a pre-formed particle inside the daughter nucleus. On this sketch, illustrate a typical tunnelling wave-function, which has an energy Q which is less than the potential for R R.) 2The cross section for a 2.0-MeV neutron (a typical energy for a neutron released in fi ssion) being absorbed by a 238U nucleus and producing fi ssion is 0.68 barn. For a pure 238U sample of thickness 3.2 cm, what is the probability of a 2.0-MeV neutron producing fi ssion? (p = 19 g/cm3 for uranium)Consider a proton confined within typical nuclear dimensions of 5×10^(−15) m. Estimate the minimum kinetic energy of the proton. Repeat this calculation for an electron confined within typical nuclear dimensions. Comment briefly on the physical significance of your results, given that the nuclear binding energy for a proton is typically in the range 1−10 MeV
- 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) 8πTEOR³Plz complete solution otherwise skip.