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Nuceli A and B convert into a stable nuc...

Nuceli `A` and `B` convert into a stable nucleus `C`. Nucleus A is converted into `C` by emitting `2 alpha`particels and `3 beta`-particles. Nucleus `B` is converted into `C` by emitting one `alpha`-particle and `5 beta`-particles. At time `t=0`, nuclei of A are `4N_(0)` and nuceli of `B` are `N_(0)`. Initially, number of nuclei of `C` are zero. Half-life of `A` (into conservation of `C`) is `1 min` and that of `B` is `2 min`. Find the time (in minutes) at which rate of disintegration of `A` and `B` are equal.

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