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Two radioactive materials X1 and X2 have decay constants 10λ and λ, respectively. If initially they have the same number of nuclei, the ratio of the number of nuclei of X1 to that of X2 be 1/e after a time
  1. 111λ
  2. 110λ
  3. 1110λ
  4. 19λ

A
19λ
B
110λ
C
111λ
D
1110λ
Solution
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Considering first order decay process, and same no. of initial no. of atoms:
X1=Noe10λt
X2=Noeλt
X1X2=e10λteλt
X1X2=e9λt

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