What should have been the surface temperature of the Earth if we go by Blackbody Radiation Equations? Show with relevant derivations.
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As the temperature of the blackbody increases, the peak wavelength decreases (Wien's Law). The intensity (or flux) at all wavelengths increases as the temperature of the blackbody increases. The total energy being radiated (the area under the curve) increases rapidly as the temperature increases (Stefan–Boltzmann Law).
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