# Solve problem 39 considering the sphere is located in an infinite medium made up of water. problem..

Solve problem 39 considering the sphere is located in an

infinite medium made up of water.

problem 39

An isotropic point source emitting So

neutrons/s is placed in the center of a bare sphere of radius R. The

sphere is made up of carbon (L2 = D/_a).

Show that the general solution for flux inside the sphere is given by:

where C1 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; _=

/r].

Equation VIe.2.14