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At any instant, two elements X₁ and X₂ have same number of radioactive atoms. If the decay constant of X₁ and X₂ are 10 and respectively. Then the time when the ratio of their atoms becomes 1 e respectively will be:

Options

  1. A1 11
  2. B1 9
  3. C1 6
  4. D1 5

Correct answer

B. 1 9

Step-by-step solution

By radioactivity law, we have, N = N _o e^ - t (where, the symbols have their usual meanings) Hence, for two elements, N ₁ ~N ₂ = N _o e^ -10 t ~N _o e^ - t = 1 e Hence, e^ -9 t =et= 1 9

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