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

  • question_answer
    The radiant energy from the sun incident normally at the surface of earth is \[20\ kcal/{{m}^{2}}min\]. What would have been the radiant energy incident normally on the earth, if the sun had a temperature twice of the present one [CBSE PMT 1998; Pb. PET 2001]

    A)            \[160\ kcal/{{m}^{2}}\ min\] 

    B)            \[40\ kcal/{{m}^{2}}\ min\]

    C)            \[320\ kcal/{{m}^{2}}\ min\] 

    D)            \[80\ kcal/{{m}^{2}}\ min\]

    Correct Answer: C

    Solution :

               \[\frac{{{E}_{2}}}{{{E}_{1}}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\]Þ\[\frac{{{E}_{2}}}{20}={{\left( \frac{2T}{T} \right)}^{4}}\]=16  Þ \[{{E}_{2}}=320\ kcal/{{m}^{2}}\]min.


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