If the radius of a star is `R` and it acts as a black body, what would b the temperature of the star, in which the rate of energy production is `Q`?

Options

A. `(4pi R^(2)Q//sigma)^(1//4)`
B. `(Q//4piR^(2)sigma)^(1//4)`
C. `Q//4piR^(2)sigma`
D. `(Q//4piR^(2)sigma)^(-1//2)`

Answer

B

Explanation

Using Stefan's law, the rate of energy production is `Q=ExxA= sigma T^(4)xx4piR^(2)`