A radioactive nucleus A decay to C after emitting two `alpha` and three `beta` particles. Another nucleus B decays to C by emitting one `alpha` and five `beta` particles. Half life of A and B are 1 hr and 2hr respectively and all intermediates have negligible half lives. AT time t=0, population of C is zero.
(a) Find the difference in atomic numbers and mass numbers of A and B.
(b) Find the population of C when both A and B have equal population.
(c) Find time `t_(0)` when both A and B have equal rate of decay.

Answer

(a) `Z_(A)-Z_(B)=4;A_(A)-A_(B)=4` (b) `(9N_(0))/(2)` (c) 6 hr