Consider a surface that has been prepared for use in outer space and has the following spectral characteristics: \rho_{\lambda}=\left\{\begin{array}{ll} 0.10 & \text { for } 0<\lambda<\lambda_{c} \mu \mathrm{m} \\ 0.90

& \text { for } \lambda_{c}<\lambda<\infty \mu \mathrm{m} \end{array}\right. For A, of 1, 2, and 3 pum, calculate the equilibrium temperature of the plate Assume the sun can be approximated by a blackbody at 6000 K and that the solar flux on the plate is 1367 W/m?. Also assume that the backside of the plate is perfectly insulated.