question_answer

A sample of radioactive material decays simultaneously by two processes A and B with half-lives 1/2 and 1/4 hr. respectively. For first half our it decays with the process A, next one hour with the process B and for further half an hour with both A and B. If originally there were no nuclei, the number of nuclei after 2 hour of such decay is \[{{N}_{0}}{{\left( \frac{1}{2} \right)}^{x}}\] then find the value of x.

A)  5   

B)  4    

C)  3  

D)  8