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To investigate the beta-decay of `Mg^(23)` radionuclide, a counter was activated at the moment `t=0`. It registered `N_(1)` beta particles by a moment `t_(1)=2 sec`, and by a moment `t_(2)=3t_(1)` the number of registered beta particles was `2.66` times greater. the mean life of the given nuclei isA. `3 sec`B. `7 sec`C. `16 sec`D. `14 sec` |
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Answer» Correct Answer - C `Mg^(23)` give one `beta`-particle in one disintergration. Number of `beta`-particle `=` number if decayed nuclei `=` number of disintergrations`=N_(0)(1-e^(-lambda t))` `:. N_(0)(1-e^(-lambda t))=N_(1) &` `N_(0)(1-e^(- lambda t_(2)))=N_(2)=2.66N_(1), 3t_(1)` after simplification `e^(-2 lambda)=0.882, rArr(1)/(lambda)= tau=16 sec` |
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