Two radioactive materials X 1 a n d X 2 have decay constants 10 λ a n d λ respectively. If initially, they have the same number of nuclei, then the ratio of the number of nuclei of X 1 to that of X 2 will be 1 e after a time

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Correct answer: D. 1 9 λ

Here, N x 1 ( t ) N x 2 ( t ) = 1 e o r N 0 e - 10 λ t N 0 e - λ t = 1 e (Because initially, both have the same number of nuclei, N 0 ). or e = e - λ t e - 10 λ t = e 9 λ t 9 λ t = 1 t = 1 9 λ

Two radioactive materials X 1 a n d X 2 have decay constants 10 λ a n d λ respectively. If initially, they have the same number of nuclei, then the ratio of the number of nuclei of X 1 to that of X 2 will be 1 e after a time

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