A parallel beam of radius is incident on a highly conducting sphere of unknown emissivity. The intensity of incident radiation on sphere is 912 $W/m^2$ . Take Stefan–Boltzman constant  $\sigma =5.7\times {10}^{-8}W{m}^{-2}{k}^{-4}$ and surrounding temperature is 300 K. Assume that the energy exchange with surrounding is only through radiation. Find the final steady state temperature of the body (in ${ }^{0}C$ ). [Take  $\sqrt{11}$= 3.32 and  $\sqrt{7}$= 2.65]