A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P) by the metal. The sensor hasa scale that displays log, $$\left(\frac{P}{P_0}\right)$$, where $$P_0$$ is a constant. When the metal surface is at a temperature of $$487^\circ C$$, the sensor shows a value 1. Assume that the emissivity of the metallic surface remains constant. What is the value displayed by the sensor when the temperature of the metal surface is raised to $$2767^\circ C$$?