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Nuclear Reactions

Problem 6.283

A narrow beam of thermal neutrons passes through a plate of iron whose absorption and scattering effective cross-sections are equal to \(\sigma_{a}=2.5 \mathrm{~b}\) and \(\sigma_{s}=11\) b respectively. Find the fraction of neutrons quitting the beam due to scattering if the thickness of the plate is \(d=0.50 \mathrm{~cm}\)

Reveal Answer
w={1−exp⁡[−(σs+σa)nd]}σs/(σs+σa)=0.35 where nextistheconcentrationofFenuclei.w=\left\{1-\exp \left[-\left(\sigma_{s}+\sigma_{a}\right) n d\right]\right\} \sigma_{s} /\left(\sigma_{s}+\sigma_{a}\right)=0.35 \text { where } n ext { is the concentration of Fe nuclei. }
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