Two radioactive nuclei `A` and `B` are intially in the ratio `1:4`. Also initial activities of the nuclei are in the ratio `1:8`. Given that, half life of `A` is `2` years, choode the correct alternatives

Options

A. Half life of nuclei `B` is `1` year
B. At `t=4` years, activities of `A` and `B` are equal
C. At `t=6` years, ratio of number of nuclei of `A` to that of `B` is `2:1`
D. Fraction of nuclei decayed in one mean life for `A` and `B` are `f_(1)` and `f_(2)` respectivity, `f_(1) gt f_(2)`

Answer

A, C

Explanation

`(N_(1))/(N_(2))=(1)/(4) & (A_(1))/(A_(2))=(lambda_(1)N_(1))/(lambda_(2)N_(2))=(1)/(8)rArr(lambda_(1))/(lambda_(2))=(1)/(2)`