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JEE Main & Advanced Physics Transmission of Heat Question Bank Radiation Stefan's law

  • question_answer
     A thin square steel plate with each side equal to 10 cm is heated by a blacksmith. The rate of radiated energy by the heated plate is 1134 W. The temperature of the hot steel plate is (Stefan's constant \[\sigma =5.67\times {{10}^{-8}}watt\ {{m}^{-2}}{{K}^{-4}}\], emissivity of the plate = 1)                                           [MP PMT 1995]

    A)            \[1000\ K\]                            

    B)            \[1189\ K\]

    C)            \[2000\ K\]                            

    D)            \[2378\ K\]

    Correct Answer: B

    Solution :

                       The rate of radiated energy \[\frac{Q}{t}=P=A\varepsilon \sigma {{T}^{4}}\]                    \[\Rightarrow 1134=5.67\times {{10}^{-8}}\times {{(0.1)}^{2}}{{T}^{4}}\]Þ \[T=1189\ K\]


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