If the radius of a star is $R$ and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q? ( $\sigma$ stands for Stefan's constant.)
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(b)
$H=\sigma\left(4 \pi R^2\right) T^4$ $\left[H=\sigma e A T^4\right]$ for black body $e=1$
$\Rightarrow T=\left[\frac{Q}{\sigma 4 \pi r^2}\right]^{1 / 4}$
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