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

  • question_answer
    Star A has radius r surface temperature T while star B has radius 4r and surface temperature T/2. The ratio of the power of two starts, PA : PB is                              [MP PMT 2004]

    A)            16 : 1                                        

    B)            1 : 16

    C)            1 : 1                                          

    D)            1 : 4

    Correct Answer: C

    Solution :

                       Power \[P\propto A{{T}^{4}}\propto {{r}^{2}}{{T}^{4}}\]            Þ \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}\times {{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\]\[={{\left( \frac{4r}{r} \right)}^{2}}\times {{\left( \frac{T/2}{T} \right)}^{4}}\]=1.


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