According to Wien's displacement law, the product of the wavelength corresponding to maximum intensity ($\lambda_m$) and the absolute temperature ($T$) is constant: $\lambda_m T = \text{constant}$. Given initial temperature, $T_1 = 1227^\circ\text{C} = 1227 + 273 = 1500 \text{ K}$. Initial wavelength, $\lambda_1 = 5000 \text{ \AA}$. The temperature is increased by $1000^\circ\text{C}$, so the new absolute temperature is $T_2 = 1500 \text{ K} + 1000 \text{ K} = 2500 \text{ K}$. Using the relation $\lambda_1 T_1 = \lambda_2 T_2$: $\lambda_2 = \frac{\lambda_1 T_1}{T_2} = \frac{5000 \times 1500}{2500} = 2 \times 1500 = 3000 \text{ \AA}$.