Two radioactive materials A and B have decay constants 10λ and λ, respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of A to that of B will be 1/e after a time:
1110λ
19λ
110λ
1111λ
A
110λ
B
1111λ
C
1110λ
D
19λ
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Solution
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N1=N0e−10λt N2=N0e−λt 1e=N1N2=e−9λt ⇒9λt=1 t=19λ
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