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Nuclei of a radioactive element A are being produced at a constant rate \( \alpha \). The element has a decay constant \( \lambda \). At time \( t=0 \), there are \( \mathrm{N}_{0} \) nuclei of the element.
P
(a) Calculate the number \( \mathrm{N} \) of nuclei of A at time \( \mathrm{t} \).
W
(b) If \( \alpha=2 \mathrm{~N}_{0} \lambda \), calculate the number of nuclei of Aafter one halflife of \( \mathrm{A} \)
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