Consider an infinitely wide planar isotropic neutron source (in \(\mathrm{Y}-\mathrm{Z}\) plane) located at \(x=0\) and emitting neutrons at the rate of \(S_{0} \mathrm{n} / \mathrm{cm}^{2}-\mathrm{s}\), then

a. Derive the general expression for the flux.

b. Plot the flux variation for infinite and finite slab in same axes.

c. Derive an expression for the current at the surface.