Suppose that a reactor consists of two materials—the rst material has an absorption cross section of

Suppose that a reactor consists of two materials—the rst
material has an absorption cross section of 1 cm−1 and a ssion cross
section of 0.5 cm−1 . The second material has an absorption cross section
of 0.25 cm−1 and a ssion cross section of 0. If half of the reactor
consists of material 1 and half of the reactor consists of material 2, what
must be the minimum value of ν for the reactor to be exactly critical?
Assume that no neutrons leak out of the core.

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