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PROBLEM 2: Consider neutrons slowing down by elastic scattering from 1.0 MeV to 0.025 eV in large spatially homogeneous regions. (a) Estimate the number of scattering events required for these neutrons to slow down in large regions of hydrogen (A = 1), iron (A 56), and uranium (A = 238). - (b) Suppose that in each neutron-nucleus collision, the probability that a neutron is captured is 0.001 (independent of energy). Estimate the probability that these neutrons in regions 238) will not be captured while of hydrogen (A 1), iron (A 56), and uranium (A slowing down from 1.0 MeV to 0.025 eV. = - =

PROBLEM 2: Consider neutrons slowing down by elastic scattering from 1.0 MeV to 0.025 eV in large spatially homogeneous regions. (a) Estimate the number of scattering events required for these neutrons to slow down in large regions of hydrogen (A = 1), iron (A 56), and uranium (A = 238). - (b) Suppose that in each neutron-nucleus collision, the probability that a neutron is captured is 0.001 (independent of energy). Estimate the probability that these neutrons in regions 238) will not be captured while of hydrogen (A 1), iron (A 56), and uranium (A slowing down from 1.0 MeV to 0.025 eV. = - =

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PROBLEM 2: Consider neutrons slowing down by elastic scattering from 1.0 MeV to 0.025 eV in large spatially homogeneous regions. (a) Estimate the number of scattering events required for these neutrons to slow down in large regions of hydrogen (A = 1), iron (A = 56), and uranium (A = 238). (b) Suppose that in each neutron-nucleus collision, the probability that a neutron is captured is 0.001 (independent of energy). Estimate the probability that these neutrons in regions 238) will not be captured while of hydrogen (A 1), iron (A 56), and uranium (A slowing down from 1.0 MeV to 0.025 e V. Note: In practice, the probability that a neutron with energy E will be captured depends on E. This makes realistic calculations of the non-capture probability considerably more difficult.
Transcribed Image Text:PROBLEM 2: Consider neutrons slowing down by elastic scattering from 1.0 MeV to 0.025 eV in large spatially homogeneous regions. (a) Estimate the number of scattering events required for these neutrons to slow down in large regions of hydrogen (A = 1), iron (A = 56), and uranium (A = 238). (b) Suppose that in each neutron-nucleus collision, the probability that a neutron is captured is 0.001 (independent of energy). Estimate the probability that these neutrons in regions 238) will not be captured while of hydrogen (A 1), iron (A 56), and uranium (A slowing down from 1.0 MeV to 0.025 e V. Note: In practice, the probability that a neutron with energy E will be captured depends on E. This makes realistic calculations of the non-capture probability considerably more difficult.
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