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

  • question_answer
    The rate of radiation of a black body at 0°C is EJ/sec. The rate of radiation of this black body at \[{{273}^{o}}C\] will be [MP PMT 1989; Kerala PET 2002; UPSEAT 2001]

    A)            \[16\ E\]                                 

    B)            \[{{T}_{2}}=8{{T}_{1}}\]

    C)            \[4\ E\]                                   

    D)            \[E\]

    Correct Answer: A

    Solution :

               \[\frac{{{E}_{1}}}{{{E}_{2}}}={{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{4}}\Rightarrow \frac{E}{{{E}_{2}}}={{\left( \frac{273+0}{273+273} \right)}^{4}}\]\[\Rightarrow {{E}_{2}}=16\ E\].


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