We have two radioactive nuclei `A` and `B`. Both convert into a stable nucleus `C`. Nucleus `A` converts into `C` after emitting two two `alpha`-particles and three `beta`-particles. Nucleus `B` converts into `C` after emitting one.
`alpha`-particle anf five `beta`-particles. A time `t = 0`, nuclei of `A` are `4N_(0)` and that of `B` are `N_(0)`. Half-life of `A`(into the conversion of `C`) is `1min` and that of `B` is `2min`. Initially number of nuclei of `C` are zero.
What are number of nuclei of `C`, when number of nuclei of `A` and `B` are equal ?

Answer

`6.00`