Answer
966 nm.
Work Step by Step
Use Wien’s law. The product of peak wavelength and absolute temperature is a constant.
$$\lambda_{p1}T_1=\lambda_{p2}T_2$$
$$\lambda_{p2}=\frac{\lambda_{p1}T_1}{T_2}$$
$$\lambda_{p2}=\frac{1.062\times 10^{-3}m (2.728K)}{3000K}=966nm$$
