Two radioactive material \( \mathrm{A}_{1} \) and \( \mathrm{A}_{2} \) have decay constants of \...

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Two radioactive material \( \mathrm{A}_{1} \) and \( \mathrm{A}_{2} \) have decay constants of \( 10 \lambda_{0} \) and \( \lambda_{0} \). If initially they have same number of nuclei, the ratio of number of their undecayed nuclei will be \( (1 / \mathrm{e}) \) after a time
\( \mathrm{P} \)
(A) \( \frac{1}{\lambda_{0}} \)
(B) \( \frac{1}{9 \lambda_{0}} \)
(C) \( \frac{1}{10 \lambda_{0}} \)
(D) 1
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