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

  • question_answer
    If temperature of a black body increases from \[{{7}^{o}}C\] to \[{{287}^{o}}C\], then the rate of energy radiation increases by [AIIMS 1997; Haryana PMT 2000; RPMT 2003]

    A)            \[{{\left( \frac{287}{7} \right)}^{4}}\]                            

    B)            16

    C)            4    

    D)            2

    Correct Answer: B

    Solution :

                       For a block body rate of energy \[\frac{Q}{t}=P=A\sigma {{T}^{4}}\] Þ \[P\propto {{T}^{4}}\] Þ \[\frac{{{P}_{1}}}{{{P}_{2}}}={{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{4}}={{\left\{ \frac{(273+7)}{(273+287)} \right\}}^{4}}=\frac{1}{16}\]


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