The ratio of half-life times of two elements `A` and `B` is `(T_(A))/(T_(B))`. The ratio of respective decay constant `(lambda_(A))/(lambda_(B))`,is

Options

A. `T_(B)//T_(A)`
B. `T_(A)//T_(B)`
C. `(T_(A)- T_(B))/(T_(A))`
D. `(T_(A)- T_(B))/(T_(A))`

Answer

A

Explanation

`T_(1//2)= (ln 2)/(lamda)`
`therefore (T_(A))/(T_(B)) = (lamda_(B))/(lamda_(A)) rArr (lamda_(A))/(lamda_(B))= (T_(B))/(T_(A))`