Two radioactive nuclides `A` and `B` have decay constant `10lambda` and `lambda` respectively. If initially they have same number of nuclei, calculate the ratio of nuclei of `A` and `B` after a time `1//9lambda`

Explanation

For `A: N_(1) = N_(o)^(-10lambda t)`
For `A: N_(2) = N_(o)e^(-10lambda t)`
`:. (N_(1))/(N_(2)) = (e^(-10 lamda t))/(e^(-lambda t)) = e^(-9lambdat) = e^(-9lambda xx1//9lambda) = e^(-1) = (1)/(e)`