A radioactive sample contains two different types of radioactive nuclei A-with half-life 5 . 0 days and B-with half-life 30 . 0 days initially the decay rate of the A-type nuclei is 64 time that of B type of nuclei. Their decay rates will be equal when time is 9 n days Find the value of n

Step-by-step solution

λ A = ln 2 5   d a y - 1   a n d   λ B = ln 2 30   d a y - 1 G i v e n       d B O A d t = 64 d N O S d t ∴           λ A N O A = 64 λ B N O B A t   t i m e   t , d N A d t = d N B d t ∴           λ A N A = λ B N B D i v i d i n g   e q u a t i o n   1   a n d   2   N O A N A = 64   N O B N B B u t     N A = N O A e - λ A t   a n d