Atoms And Nuclei Question 385

Question: If nuclei of a radioactive element is produced at constant rate α and they decays with decay constant λ . At t=0, number of nuclei is zero than the number of nuclei at time t is

Options:

A) αλ(1eλt)

B) ααλeλt

C) αλeλt

D) α(1eλt)

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Answer:

Correct Answer: A

Solution:

  • dNdt=αλN 0NdNαλN,=0tdt Solving N=αλ(1eλt).


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