A radioactive nucleus can decay be either emitting an `alpha` particle or by emitting a `beta` particle. Probability of `alpha` decay is `75%` while that of `beta` decay is `25%` the decayconstatnt of `alpha` decay is `lamda_(1)` and that of `beta` decay is `lamda_(2)` is `(lamda_(1))/(lamda_(2))`

Answer

3

Explanation

`(lamda_(1))/(lamda_(2))=(lamda_(1)N)/(lamda_(2)N)=("decay rate of alpha decay")/("decay rate of beta decay")`
`=("probability of alpha decay")/("probability of beta decay")=((75)/(100))/((25)/(100))=3`