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A sample of radioactive material decays simultaneously by two processes \( A \) and \( B \) with half-
\( \mathrm{P} \) lives \( 1 / 2 \) and \( 1 / 4 \) hour respectively. For first thirty

W minutes it decays with the process \( A \), next one hour with the process \( B \) and for further half an hour with both \( A \) and \( B \). If originally there were \( N_{0} \) nuclei, find the number of nuclei after 2 hours of such decay.
(a) \( \frac{N_{0}}{(2)^{8}} \)
(b) \( \frac{N_{0}}{(2)^{4}} \)
(c) \( \frac{N_{0}}{(2)^{6}} \)
(d) \( \frac{N_{0}}{(2)^{5}} \)
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