A radio nuclide consists of two isotopes. One of the isotopes decays by `alpha`-emission
Channel: Doubtnut
Date: 2020-07-12

A radio nuclide consists of two isotopes. One of the isotopes decays by `alpha`-emission and other by `beta`-emission with half-lives `T_1=405s` and `T_2=1620s`, respectively. At `t=0`, probabilities of getting `alpha` and `beta`-particles from the radio nuclide are equal . Calculate their respective probabilities at `t=1620s`. If at `t=0`, total number of nuclei in the radio nuclide are `N_0`. Calculate the time t when total number of nuclei remained undecayed becomes equal to `N_0//2`.  `log_(10)2=0.3010`, `log_(10)5.94=0.7742` and `x^4+4x-2.5=0, `x=0.594