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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Nuclear Physics

Olympiad workbook · NSEP · Nuclear Physics

When a sample of atoms is irradiated by neutrons, radioactive atoms...

When a sample of atoms is irradiated by neutrons, radioactive atoms are produced at a constant rate R , which decay with decay constant

\lambda

. The number of radioactive atoms accumulated after an irradiation time

t

is given by

Options

A $\mathrm{N}(\mathrm{t})=\operatorname{Rte}^{-\lambda t}$
B $\mathrm{N}(\mathrm{t})=\frac{\mathrm{R}}{\lambda} e^{-\lambda \mathrm{t}}$
C $\mathrm{N}(\mathrm{t})=\frac{\mathrm{R}}{\lambda} \left(1-e^{-\lambda t}\right)$
D $\mathrm{N}(\mathrm{t})=\mathrm{R} \underline{t}$ \left(1-e^{-\lambda $\mathrm{t}}\right)$

Correct answer

C. $\mathrm{N}(\mathrm{t})=\frac{\mathrm{R}}{\lambda} \left(1-e^{-\lambda t}\right)$

Step-by-step solution

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