Atoms And Nuclei Question 374

Question: 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

Options:

A) 110λ

B) 111λ

C) 1110λ

D) 19λ

Show Answer

Answer:

Correct Answer: D

Solution:

  • N1=N0e−10λt

    and N2=N0e−λt.
    ∴N1N2=e−10λte−λt=1e9λt

    Given N1N2=1e;∴1e9λt=1e or, 9λt=1

    or t=(19λ)

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