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Heat and Thermodynamics question

2016 · Shift 1 · Q38
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  5. /2016 · Shift 1 · Q38

Heat and Thermodynamics question

2016 · Shift 1 · Q38

JEE AdvancedPhysicsHeat and ThermodynamicsNumerical+3 / −1
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(PP0){\log _2}\left( {{P \over {{P_0}}}} \right)log2​(P0​P​), where P0 is a constant. When the metal surface is at a temperature of 487oC, 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 2767oC?
Numerical answer
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