RAJASTHAN PMT Rajasthan - PMT Solved Paper-2004

  • question_answer
    If temperature becomes double, the emitted radiation will be :

    A)  16 times                             

    B)  8 times

    C)  \[2\sqrt{2}\] times        

    D)         32 times

    Correct Answer: A

    Solution :

    From Stefans law \[E\propto {{T}^{4}}\] \[\therefore \,\,\,\,\,\,\frac{{{E}_{1}}}{{{E}_{2}}}\,={{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{4}}\] Here \[{{E}_{1}}=E\] (initial radiation say),        \[{{T}_{1}}=T,{{T}_{2}}=2T\] Putting given values in eq (1) \[\Rightarrow \]               \[{{E}_{2}}=16E\]


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