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

  • question_answer
    A black body radiates at the rate of W  watts at a temperature T. If the temperature of the body is reduced to T/3, it will radiate at the rate of (in Watts)   [BHU 1998; MP PET 2003]

    A)            \[\frac{W}{81}\]                 

    B)            \[\frac{W}{27}\]

    C)            \[\frac{W}{9}\]                    

    D)            \[\frac{W}{3}\]

    Correct Answer: A

    Solution :

               \[P=\left( \frac{Q}{t} \right)\propto {{T}^{4}}\]Þ \[\frac{W}{{{P}_{2}}}={{\left( \frac{T}{T/3} \right)}^{4}}\]Þ \[{{P}_{2}}=\frac{W}{81}\].


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