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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, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a time
  • a)
    1/ 10λ
  • b)
    1/ 11λ
  • c)
    11/ 10λ
  • d)
    1/ 9λ
Correct answer is option 'D'. Can you explain this answer?
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Two radioactive materials X1 and X2 have decay constants 10λ an...
The decay constant of a radioactive material is a measure of how quickly it decays. It is usually denoted by the symbol λ.

In this case, we have two radioactive materials X1 and X2 with decay constants of 10. Since the decay constant is a measure of decay rate, we can say that both X1 and X2 decay at the same rate.

This means that both materials have the same probability of decaying over a given period of time. The decay constant of 10 indicates that, on average, 10% of the material will decay per unit of time.

It's important to note that the decay constant is independent of the amount of material present. So even if X1 and X2 have different initial amounts, they will still decay at the same rate.

In summary, the radioactive materials X1 and X2 have the same decay constant of 10, which means they decay at the same rate.
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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, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a timea)1/ 10λb)1/ 11λc)11/ 10λd)1/ 9λCorrect answer is option 'D'. Can you explain this answer?
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