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

Answer

A

Explanation

Let temperature of star is T
`Q = sigma AT^4`
` Q = sigma 4pi R^2 T^4`
` T = [ (Q)/(sigma 4pi R^2) ]^(1/4)`