The total radiation energy Eemittedby a heated surface per unit area varies as the fourth powerof its absolute temperature T. The temperature is 6000 K atthe surface of the sun and 300 K at the surface of the earth.(a)How many times more radiation energy per unit area isproduced by the sun than by the earth?(b)The radius of the earth is 3960 mi and the radius of thesun is 435,000 mi. How many times more total radia-tion does the sun emit than the earth?