According to Stefan’s law, the energy radiated per second or power radiated is given by $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ P = \sigma AT^{4}$ $\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sigma = \frac{P}{AT^{4}}$ Therefore, unit of $\sigma = \frac{W}{m^{2}K^{4}} = {Wm}^{- 2}K^{- 4}$