Two radioactive materials $\mathrm{Y}_1$ and $\mathrm{Y}_2$ initially contain same number of nuclei. Their…

Two radioactive materials $\mathrm{Y}_1$ and $\mathrm{Y}_2$ initially contain same number of nuclei. Their decay constants are $9 \lambda \mathrm{s}^{-1}$ and $6 \lambda \mathrm{s}^{-1}$ respectively. The time after which the ratio of number of undecayed nuclei of $\mathrm{Y}_1$ and $\mathrm{Y}_2$ becomes $\frac{1}{e}$ is
  1. $\frac{1}{3 \lambda} \mathrm{s}$
  2. $\frac{1}{15 \lambda} \mathrm{s}$
  3. $\frac{1}{10 \lambda} \mathrm{s}$
  4. $\frac{1}{8 \lambda} \mathrm{s}$

Solution

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Asked in: AP EAMCET 2017 (24 Apr Shift 1)

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