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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 scale that displays `log_2,(P//P_0)`, where `P_0` is constant. When the metal surface is at a temperature of `487^@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^@C`? |
Answer» Correct Answer - 9 `P = eAsigmaT^(4)` where `T` is in kelvin `"log"_(2)(eAsigma(487 + 273)^(4))/(P_(0)) = 1 …..(i)` `"log"_(2)(eAsigma(2767 + 273)^(4))/(P_(0)) = x ….. (ii)` (ii) - (i) `"log"_(2) ((3040)/(760))^(4) = x-1` `therefore x = 9` |
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