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Two radioactive materials `X_(1)` and `X_(2)` have decay constants `5 lambda` and `lambda` respectively. If initially they have the same number of nuclei, then the ratio of the number of muclei of `X_(1)` to that of `X_(2)` will be `1/e` after a timeA. `(1)/(4lambda)`B. `(e)/(lambda)`C. `lambda`D. `(1)/(2)lambda` |
Answer» Correct Answer - A `x_(1)=N_(0)e^(-5lambdat)` `x_(2)=N_(0)e^(-lambdar)` `(x_(1))/(x_(2))=e^(-5lambdat+lambdat)` `(1)/(e)=e^(-4lambdat)` `e^(-1)=e^(-4lambdat) rArr t=(1)/(4lambda)` |
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