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

  • question_answer
    If the temperature of the body is increased by 10%, the percentage increase in the emitted radiation will be [RPMT 2001, 02]

    A)            46%                                          

    B)            40%

    C)            30%                                          

    D)            80%

    Correct Answer: A

    Solution :

                       \[Q\propto {{T}^{4}}\] Þ \[\frac{{{Q}_{1}}}{{{Q}_{2}}}={{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{4}}\] If \[{{T}_{1}}=T\] then \[{{T}_{2}}=T+\frac{10}{100}T=1.1T\] Þ \[\frac{{{Q}_{1}}}{{{Q}_{2}}}={{\left( \frac{T}{1.1T} \right)}^{4}}\] Þ \[{{Q}_{2}}=1.46\,{{Q}_{1}}\] Þ % increase in energy \[=\frac{{{Q}_{2}}-{{Q}_{1}}}{{{Q}_{1}}}\times 100=46%\]


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