Venus and Earth may be regarded as behaving as black bodies. The mean temperature at the surface of Venus is about 600 K and at the surface of Earth is about 300 K. Which of the following is the best estimate for the ratio $\frac{{{\text{power radiated per unit area on Earth}}}}{{{\text{power radiated per unit area on Venus}}}}$?

A.     $\frac{1}{2}$

B.     $\frac{1}{4}$

C.     $\frac{1}{8}$

D.     $\frac{1}{16}$

D