6. A slab of thickness “a' is made of a non-multiplying medium of thermal diffusion length L and diffusion coefficient D

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6 A Slab Of Thickness A Is Made Of A Non Multiplying Medium Of Thermal Diffusion Length L And Diffusion Coefficient D 1 (125.74 KiB) Viewed 23 times

6. A slab of thickness “a' is made of a non-multiplying medium of thermal diffusion length L and diffusion coefficient D. It is placed in vacuum. A uniform beam of thermal neutrons arrives on the left surface of the slab. On the right surface, some neutrons escape into the vacuum. (a) What are the proper boundary conditions for this system? (Do not restrict yourself to extrapolated boundary condition) (b) Find the reflection (R) and transmission (T) coefficient, defined as R J-(x=0)/J+(x=0) and T = J+(x=a)/J+(x=0) respectively. (c) Find the fraction of incoming neutrons absorbed in the slab. =