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Manipal Medical Manipal Medical Solved Paper-2015

  • question_answer
    If a black body emits 0.5 J of energy per second when it is at 27°C, then the amount of energy emitted by it when it is at 627°C will be

    A) 162 J                         

    B) 135 J   

    C) 40.5 J                       

    D) 13.5 J

    Correct Answer: C

    Solution :

    According to Stefan's law, \[E\propto {{T}^{4}}\]   \[\frac{{{E}_{1}}}{{{E}_{2}}}={{\left[ \frac{{{T}_{1}}}{{{T}_{2}}} \right]}^{4}}\]                                               \[\frac{{{E}_{1}}}{0.5}={{\left[ \frac{273+627}{273+27} \right]}^{4}}\]                                 \[{{E}_{1}}=0.5{{\left[ \frac{900}{300} \right]}^{4}}\]                                 \[{{E}_{1}}=40.5\,\,J\]


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