Radioactive decay follows first order kinetics and the rate constant is often termed as decay constant. Certain radioactive substance may undergo sequential decays in order to convert into a stable necleus The series comprising all such elements is termed as radioactive disintegration series.
A substance A undergoes sequential decay as shown `A overset(lambda_(1))rarrBoverset(lambda_(2))rarr C`. if the decay constant `lambda_(1) and lambda_(2)` are `4xx10^(-2) min^(-1)and 16xx10^(5) min^(-1)` respectively then the molar ratio of B to A after a very long time will be:

Options

A. `2.5xx10^(-8)`
B. `4xx10^(-2)`
C. `1/16xx10^(-5)`
D. `4xx10^(7)`

Answer

A