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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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The tungsten filament of an electric lamp has a surface AA area and a power rating PP. If the emissivity of the filament is ε\varepsilon and σ\sigma is Stefan’s constant, the steady temperature of the filament will be
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Correct option: D
T=(PAεσ)14T = {\left( {\frac{P}{{A\varepsilon \sigma }}} \right)^{\frac{1}{4}}}
Option D (T=(PAεσ)14T = {\left( {\frac{P}{{A\varepsilon \sigma }}} \right)^{\frac{1}{4}}}) is correct because the steady temperature of the filament is found by equating the power rating to the power radiated by the filament using Stefan's law: P=AεσT4P = A\varepsilon \sigma T^4.

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