Problem 6.284

The yield of a nuclear reaction producing radionuclides may be described in two ways: either by the ratio \(w\) of the number of nuclear reactions to the number of bombarding particles, or by the quantity \(k\), the ratio of the activity of the formed radionuclide to the number of bombarding particles, Find: (a) the half-life of the formed radionuclide, assuming \(w\) and \(k\) to be known: (b) the yield \(w\) of the reaction \(L i^{7}(p, n) B e^{7}\) if after irradiation of a lithium target by a beam of protons (over \(t=2.0\) hours and with beam current \(I=10 \mu \mathrm{A}\) ) the activity of \(\mathrm{Be}^{7}\) became equal to \(A=\) \(=1.35 \cdot 10^{8}\) dis/s and its half-life to \(T=53\) days.