A star emits thermal radiation with a luminosity of and has a uniform surface…

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

Problem

A star emits thermal radiation with a luminosity of 3.9×1026 W3.9\times10^{26}\,\text{W} and has a uniform surface temperature of 5.8×103 K5.8\times10^{3}\,\text{K}. Assuming the star behaves as an ideal blackbody, which of the following is closest to the star's radius? (a) 1.4×109 m1.4\times10^{9}\,\text{m} (b) 7.0×108 m7.0\times10^{8}\,\text{m} (c) 3.5×108 m3.5\times10^{8}\,\text{m} (d) 7.0×107 m7.0\times10^{7}\,\text{m}

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