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

  • question_answer
    A black body at a temperature of \[{{227}^{o}}C\] radiates heat energy at the rate of 5 cal/cm2-sec. At a temperature of \[{{727}^{o}}C\], the rate of heat radiated per unit area in cal/cm2will be                         [MP PET 1987; MH CET 2002]

    A)            80  

    B)            160

    C)            250

    D)            500

    Correct Answer: A

    Solution :

               \[\frac{{{E}_{2}}}{{{E}_{1}}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\]\[=\left( \frac{273+727}{237+227} \right)=\frac{{{(1000)}^{4}}}{{{(500)}^{4}}}=16\Rightarrow {{E}_{2}}=80\]


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