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MGIMS WARDHA MGIMS WARDHA Solved Paper-2007

  • question_answer
    A black body at 227oC radiates heat at the rate of \[7\text{ }cal/c{{m}^{2}}-s.\] At a temperature of 727°C, the rate of heat radiated in same units will be

    A)  80                                         

    B) 60

    C) 50                                          

    D) 112

    Correct Answer: D

    Solution :

    Using Stefan's law \[\frac{{{E}_{2}}}{{{E}_{1}}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\] \[\therefore \]  \[\frac{{{E}_{2}}}{7}={{\left( \frac{727+273}{227+273} \right)}^{4}}\]                 \[\frac{{{E}_{2}}}{7}={{\left( \frac{1000}{500} \right)}^{4}}={{(2)}^{4}}=16\]                 \[{{E}_{2}}=16\times 7=112\,cal/c{{m}^{2}}-s\]


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