A radioactive isotope is being produced at a constant rate dN/dt - R in an experiment.
a. The isotope has a half-life Show that after a time t >> t1/2, the number of active nuclei will become constant. Find the value of this constant.
b. Consider the situation of the previous problem. Suppose the production of the radioactive isotope starts at t = 0. Find the number of active nuclei at time t.