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  • 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?   (<img alt="\sigma" src="

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)

Option: 1

\frac{Q}{4 \pi R^{2}\sigma}


Option: 2

(\frac{Q}{4 \pi R^{2}\sigma})^{\frac{-1}{2}}


Option: 3

(\frac{4 \pi R^{2}Q}{\sigma})^{\frac{1}{4}}


Option: 4

(\frac{Q}{4 \pi R^{2}\sigma})^{\frac{1}{4}}


Answers (1)

best_answer

\\ \text{From Stefan" law} \\ E=\sigma T^{4}$ \\ so, the rate energy production \\ $Q=E \times A$ \\ $Q =\sigma T ^{4} x 4 TR ^{2}$ \\ Temperature of star = $T=\left(\frac{Q}{4 \pi R^{2} \sigma}\right)^{1 / 4}$

Posted by

rishi.raj

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