A radioactive isotope is being produced at a constant rate dNdt = R in an experiment. The isotope has a half-life t12. Show that after a times t>> t12, the number of active nuclei will become constant. Find the value of this constant.
Given : Half life period = t12,
Rate of Radio active decay
= dNdt = R
After time t>>t12 the number of active nuclei will become constant
[Where, λ = Radioactive decay constant, N= constant number]
⇒Rt12 = 0.693 N