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

  • question_answer
    If the temperature of the sun were to be increased from T to 2T and its radius from R to 2R, then the ratio of the radiant energy received on the earth to what it was previously will be                                                    [AIEEE 2004]

    A)            4    

    B)            16

    C)            32  

    D)            64

    Correct Answer: D

    Solution :

               \[Q\propto {{r}^{2}}{{T}^{4}}\] Þ \[\frac{{{Q}_{2}}}{{{Q}_{1}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}\times {{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}={{(2)}^{2}}\times {{(2)}^{4}}=64\]


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