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

  • question_answer
    If the sun?s surface radiates heat at \[6.3\times {{10}^{7}}W{{m}^{-2}}\]. Calculate the temperature of the sun assuming it to be a black body \[(\sigma =5.7\times {{10}^{-8}}W{{m}^{-2}}{{K}^{-4}})\] [BHU (Med.) 2000]

    A)            \[5.8\times {{10}^{3}}K\]

    B)            \[8.5\times {{10}^{3}}K\]

    C)            \[3.5\times {{10}^{8}}K\]

    D)            \[5.3\times {{10}^{8}}K\]

    Correct Answer: A

    Solution :

                       From Stefan?s law \[E=\sigma {{T}^{4}}\]                    \[{{T}^{4}}=\frac{E}{\sigma }=\frac{6.3\times {{10}^{7}}}{5.7\times {{10}^{8}}}=1.105\times {{10}^{15}}=0.1105\times {{10}^{16}}\]            \[T=0.58\times {{10}^{4}}K=5.8\times {{10}^{3}}K\]


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