Question

Nuclei of radioactive element A are being produced at a constant rate. `alpha`. The element has a decay constant `lambda`. At time `t=0`, there are`N_(0)` nuclei of the element.
(a) Calculate the number N of nuclei of A at time t.
(b) IF `alpha =2 N_(0) lambda` , calculate the number of nuclei of A after one half-life time of A and also the limiting value of N at `t rarr oo`.

Answer 1

Correct Answer - [(a) `N = (1)/(lambda)[alpha-(a - lambda N_(0))e^(-lambdat)`; (b) `2 N_(0)] ]`