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A sample of radioactive material decays simultaneously by two processes A and B with half-lives \( \frac{1}{2} \) and \( \frac{1}{4} \mathrm{~h} \), respectively. For the first half hour it decays with the process \( \mathrm{A} \), next one hour with the process \( \mathrm{B} \), and for further half an hour with both \( \mathrm{A} \) and \( \mathrm{B} \). If, originally, there were \( N_{0} \) nuclei, find the number of nuclei after \( 2 \mathrm{~h} \) of such decay.
(1) \( \frac{N_{0}}{(2)^{8}} \)
(2) \( \frac{N_{0}}{(2)^{4}} \)
(3) \( \frac{N_{0}}{(2)^{6}} \)
(4) \( \frac{N_{0}}{(2)^{5}} \)
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