Physics - Heat & Thermo Question with Solution | TestHub

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 has a scale that displays${\log }_2\left(\frac{P}{P_0}\right)$, where$P_0$is a constant. When the metal surface is at a temperature of$487 °\mathrm{C}$, 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$2767 °\mathrm{C}$?