Derive the expression of neutron flux for a finite bare spherical reactor of radius (R). Also find

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Derive the expression of neutron flux for a finite bare spherical reactor of radius \(R\). Also find out reactor power \(P\) and the peaking factor. Assume the radius of the spherical reactor is \(50 \mathrm{~cm}\) and it operates at \(200 \mathrm{MW}\) th power (use \(\Sigma_{f}=0.005 \mathrm{~cm}^{-1}\) ).

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