A radioactive sample consists of two isotopes one of then decays by `alpha-` emission with a half
Channel: Doubtnut
Date: 2020-02-20

A radioactive sample consists of two isotopes one of then decays by `alpha-` emission with a half life of `tau_(1)=405s` and the other one decays by `beta` emission with half life of `tau_(1)`=1620s`. At time t=0, probabilities of getting `alpha` and `beta` particles from the sample are equal. (a) If a particle coming out of the sample is detected at t=1620s, what is the probability that it is `alpha` particle? (b) Find the time when total number of surviving nuclei is half the initial quantity. Given If `x^(4)+4x-2.5=0` then `x=0.59` `\"log\"_(10)2=0.301, \"log\"_(10)5.9=0.774`