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 ?

• A

  ${\left(\frac{4{\mathrm{\pi R}}^2\mathrm{Q}}{\mathrm{\sigma }}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}$

• B

  ${\left(\frac{\mathrm{Q}}{4{\mathrm{\pi R}}^2\mathrm{\sigma }}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}$

• C

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

• D

  ${\left(\frac{\mathrm{Q}}{4{\mathrm{\pi R}}^2\mathrm{\sigma }}\right)}^{\raisebox{1ex}{$-1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$