Q.

A and B are two substances undergoing radioactive decay in a container. The half life of A is 15 min and that of B is 5 min. If the initial concentration of B is 4 times that of A and they both start decaying at the same time, how much time will it take for the concentration of both of them to be same ______ min.              [2023]


Ans.

(15)

t1/2(A)=15 min,    t1/2(B)=5 min

[B]initial=4[A]initial

[B]final=[B]initial(12)t/15

[A]final=[A]initial(12)t/5

[B]final=[A]final

t=15