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JEE Advanced2016PhysicsThermal Properties of MatterActual

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 ⁡ P P 0 , where P 0 is a 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

Correct answer

9

Step-by-step solution

P = e A σ T 4 where T is in kelvin log 2 ⁡ e A σ 487 + 273 4 P 0 = 1 .....(i) log 2 ⁡ e A σ 2767 + 273 4 P 0 = x ......(ii) (ii) - (i) log 2 ⁡ 3040 760 4 = x - 1 ∴ x = 9

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