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Question

Two radioactive materials A and B have decay constants 5λandλ respectively. Initially both A and B have the same number of nuclei. The ratio of the number of nuclei of A to that of B will be 1e after a time
  1. 15λ
  2. 14λ
  3. 54λ
  4. 45λ

A
15λ
B
14λ
C
54λ
D
45λ
Solution
Verified by Toppr

Using the law of radioactivity, we can write:
N(5λ)N(λ)=N0e5λteλt

1e=e5λteλt

e1=e4λt

1=4λtt=14λ

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