The surface of the Sun has a temperature of about 5 770 K.If the radius of the Sun is 7 × 10⁸ m,determine the power output of the Sun.(Take e = 1,and σ = 5.67 × 10−⁸ W/m²⋅K⁴). A)3.9E+26 W B)1.2E+26 W C)6.7E+22 W D)2.2E+30 W E)5.5E+17 W

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Quizplus · Accepted Answer

The power output of the Sun can be calculated using the Stefan-Boltzmann law: $P = 4\pi R^2 \sigma T^4$, where $R$ is the radius of the Sun, $\sigma$ is the Stefan-Boltzmann constant, and $T$ is the temperature. Substituting the given values: $P = 4\pi (7 \times 10^{8})^2 (5.67 \times 10^{-8}) (5770)^4$, results in approximately $3.9 \times 10^{26}$ W.

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