Chapter 4, Problem 4.4P

To determine

(a)

The proof that $I\left(T\right)$ has form $I\left(T\right)=\sigma T^4$ .

To determine

(b)

The proof for $\sigma =\frac{2{\pi }^5{k}_{\text{B}}^4}{15h^3{c}^2}$ .

To determine

(c)

The evaluation for $\sigma$ and total power radiated.