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Question

Two radioactive materials X1 and X2 have decay constant 10 λ and λ respectively. If initially they have same number of nuclei, then ratio of number of nuclei X1 and X2 will be 1e after a time


A

19λ

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B

1110λ

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C

111λ

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D

110λ

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Solution

The correct option is A

19λ


Using N0e10λtN0etλ=1e . We get e=eλte10λt i.e.,

e=e9λt i.e., 9λt=1 or t=19λ

(d)


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