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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    At temperature T, the power radiated by a body is Q watt. At the temperature 3T, the power  radiated by it will be

    A)  3Q                                        

    B)  9Q

    C)  27 Q                                     

    D)  81 Q

    Correct Answer: D

    Solution :

    According to Stefan's law \[E\propto {{T}^{4}}\]                 So,          \[\frac{{{E}_{2}}}{{{E}_{1}}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\]                 or            \[\frac{{{E}_{2}}}{{{E}_{1}}}={{\left( \frac{3T}{T} \right)}^{4}}\]                 \[\Rightarrow \]               \[{{E}_{2}}=81Q\,\,W\]


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