A radioactive nucleus A has a single dec...

A radioactive nucleus A has a single decay mode with half life `tau_(A)`. Another radioactive nucleus B has two decay modes 1 and 2. If decay mode 2 were absent, the half life of B would have been `tau_(A)//2`. If decay mode 1 were absent, the half life of B would have been `3 tau_(A)`, then the ratio `tau_(B)//tau_(A)` is–

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