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Question: Answered & Verified by Expert
Two radioactive materials X 1 and X 2 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 X 1 to that of X 2 will be 1/e after time
PhysicsNuclear PhysicsJEE Main
Options:
  • A 1 10λ
  • B 1 11λ
  • C 11 10λ
  • D 1 9λ
Solution:
2221 Upvotes Verified Answer
The correct answer is: 1 9λ
N 1 = N 0 e 10λt

and  N 2 = N 0 e λt
 
N 1 N 2 = e - 1 0 λ t e - λ t = 1 e  (given)

  t = 1 9 λ

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