A point source of thermal neutrons is placed at the beryllium. Deduce the spatial distribution of neutron densit what its radius must be if less than 1% of the neutr the surface. Find also the neutron density near the su of the source strength. At. Wt of beryllium = 9

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A point source of thermal neutrons is placed at the centre of a large sphere of
beryllium.
Deduce the spatial distribution of neutron density in the sphere. Estimate
what its radius must be if less than 1% of the neutrons are to escape through
the surface. Find also the neutron density near the surface in this case in terms
of the source strength.
At. Wt of beryllium = 9
Density of beryllium = 1.85 g/cc
Avagadro number = 6 x 1023 atoms/g atom
Thermal neutron scattering cross-section on beryllium = 5.6 barns
Thermal neutron capture cross-section on beryllium 10 mb (at velocity
v = 2,200 m/s)
=
Transcribed Image Text:A point source of thermal neutrons is placed at the centre of a large sphere of beryllium. Deduce the spatial distribution of neutron density in the sphere. Estimate what its radius must be if less than 1% of the neutrons are to escape through the surface. Find also the neutron density near the surface in this case in terms of the source strength. At. Wt of beryllium = 9 Density of beryllium = 1.85 g/cc Avagadro number = 6 x 1023 atoms/g atom Thermal neutron scattering cross-section on beryllium = 5.6 barns Thermal neutron capture cross-section on beryllium 10 mb (at velocity v = 2,200 m/s) =
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