We are given the intensity emitted by the blackbody and the photon energy at which its spectrum peaks.
First, let's list the given values:
Intensity, $I = 0.05 \text{ MW/m}^2 = 0.05 \times 10^6 \text{ W/m}^2 = 5 \times 10^4 \text{ W/m}^2$.
Peak photon energy,
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