Two data points for an ideal blackbody are recorded as: and

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two data points for an ideal blackbody are recorded as: (T,E)=(1200 K,1.18×105 W m−2)(T,E)=(1200\,\text{K},1.18\times10^{5}\,\text{W m}^{-2}) and (800 K,2.32×104 W m−2)(800\,\text{K},2.32\times10^{4}\,\text{W m}^{-2}). Using only these two readings, which of the following values is closest to the Stefan–Boltzmann constant that can be deduced? (a) 1.4×10−7 W m−2 K−41.4\times10^{-7}\,\text{W m}^{-2}\,\text{K}^{-4} (b) 2.9×10−8 W m−2 K−42.9\times10^{-8}\,\text{W m}^{-2}\,\text{K}^{-4} (c) 5.7×10−8 W m−2 K−45.7\times10^{-8}\,\text{W m}^{-2}\,\text{K}^{-4} (d) 2.3×10−7 W m−2 K−42.3\times10^{-7}\,\text{W m}^{-2}\,\text{K}^{-4}

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