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

  • question_answer
    A black body radiates 20 W at temperature \[{{227}^{o}}C\]. If temperature of the black body is changed to \[{{727}^{o}}C\] then its radiating power will be  [CBSE PMT 2002; DCE 1999, 03; AIIMS 2003]

    A)            120W                                       

    B)            240 W 

    C)            320 W                                      

    D)            360 W

    Correct Answer: C

    Solution :

                       For a black body \[\frac{Q}{t}=P=A\sigma {{T}^{4}}\] Þ \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\] Þ \[\frac{{{P}_{2}}}{20}={{\left( \frac{273+727}{273+227} \right)}^{4}}\] Þ \[\frac{{{P}_{2}}}{20}={{(2)}^{4}}\] Þ \[{{P}_{2}}=320W\]


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