$011,10\mathrm{.}0$ points

The radiation per unit area from the Sun reaching the earth is $1400\frac{W}{m^2},$ approximately the amount of radiative power per unit area reaching a sun bather on the banks of Barton Springs at noon on a clear day in June. The temperature of the Sun is $5800$ K $.$ Now suppose instead of the present Sun we received radiation from sun X at temperature $2563$ K $,$ located at the same position as our Sun.

How much radiative power per unit area would reach the sun bather from the new sun X$?$

Answer in units of $\frac{W}{m^2}.$