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

  • question_answer
    The temperatures of two bodies \[A\] and \[B\] are respectively \[{{727}^{o}}C\] and \[{{327}^{o}}C\]. The ratio \[{{H}_{A}}:{{H}_{B}}\] of the rates of heat radiated by them is                                  [UPSEAT 1999; MP PET 1999; MH CET 2000; AIIMS 2000]

    A)            \[727:327\]                           

    B)            5 : 3

    C)            25 : 9                                        

    D)            625 : 81

    Correct Answer: D

    Solution :

      \[Q\propto {{T}^{4}}\]Þ\[\frac{{{H}_{A}}}{{{H}_{B}}}={{\left( \frac{273+727}{273+327} \right)}^{4}}={{\left( \frac{10}{6} \right)}^{4}}={{\left( \frac{5}{3} \right)}^{4}}=\frac{625}{81}\]


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