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

αλ(1−e−λt)

α−αλe−λt

αλe−λt

α(1−e−λt)

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

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Text solutionVerified

[a] dNdt=α−λN ∫N0dNα−λN=∫t0dt Solving N=αλ(1−e−λt).

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Question Text	If nuclei of a radioactive element is produced at constant rate α and they decays with decay constantλ. At t=0, number of nuclei is zero than the number of nuclei at time t is
Answer Type	Text solution:1
Upvotes	150

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

Text solutionVerified

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