In an Electric Furnace Used for Refining Steel, the Temperature $0.5 \mathrm {~cm} ^ { 2 }$

Multiple Choice

In an electric furnace used for refining steel, the temperature is monitored by measuring the radiant power emitted through a small hole in the wall of the furnace, of area $0.5 \mathrm {~cm} ^ { 2 }$ This hole acts like a perfect blackbody radiator having the same temperature as the interior of the furnace. If the temperature of the furnace (and therefore of the hole) is to be maintained at $1650 ^ { \circ } \mathrm { C } \text {, }$ how much power will the hole radiate?

A) 30 W
B) 50 W
C) 20 W
D) 40 W