A sample of radioactive material decays by two processes A and B with half life of 1/2 hr and 1/4 hr respectively. For the first half hour it decays with the process A, next one hour with the process B and for a further half hour simultaneously with both processes A and B. If originally there were No nuclei, find the number of remaining nuclei after 2 hr of these decays.

A sample of radioactive material decays by two processes A and B with

1.	A sample of radioactive material decays by two processes A and B with half life of 1/2 hr and 1/4 hr respectively. For the first half hour it decays with the process A, next one hour with the process B and for a further half hour simultaneously with both processes A and B. If originally there were No nuclei, find the number of remaining nuclei after 2 hr of these decays.
Answer» A sample of radioactive material decays by two processes $A$ and $B$ with half life of $1 / 2 hr$ and $1 / 4 hr$ respectively. For the first half hour it decays with the process $A$ , next one hour with the process $B$ and for a further half hour simultaneously with both processes $A$ and $B$ . If originally there were $N_{o}$ nuclei, find the number of remaining nuclei after $2 hr$ of these decays.