39. An isotropic point source emitting S, neutrons/s is placed in the center of a bare sphere of radius R. The sphere is made up of carbon (L² = D/E). Show that the general solution for flux inside the sphere is given by: Ø(r) = Le-rlL r r where C and C2 are constants of integration. Apply the boundary conditions and find the neutron flux anywhere at r = R/2. [Hint: Start with Equation VIe.2.14 and make a change of function; ø= g/r]. 2R Point Source Problem 39 Problem 40 Problem 41 1 d dø(r) s(r) Vle.2.14 r? dr dr D D 40. Solve problem 39 considering the sphere is located in an infinite medium made up of water. made up of water.

39. An isotropic point source emitting S, neutrons/s is placed in the center of a bare sphere of radius R. The sphere is made up of carbon (L² = D/E). Show that the general solution for flux inside the sphere is given by: Ø(r) = Le-rlL r r where C and C2 are constants of integration. Apply the boundary conditions and find the neutron flux anywhere at r = R/2. [Hint: Start with Equation VIe.2.14 and make a change of function; ø= g/r]. 2R Point Source Problem 39 Problem 40 Problem 41 1 d dø(r) s(r) Vle.2.14 r? dr dr D D 40. Solve problem 39 considering the sphere is located in an infinite medium made up of water. made up of water.