Assuming detector efficiency of (2 %), find the counts recorded by the detector for a gold foil

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Assuming detector efficiency of \(2 \%\), find the counts recorded by the detector for a gold foil irradiated in a thermal flux of \(1.0 \times 10^{9} \mathrm{n} / \mathrm{cm}^{2} / \mathrm{s}\) for \(1 \mathrm{~h}\). Assume that the cooling time is \(20 \mathrm{~h}\). Flux perturbation factor can be assumed to be unity.

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