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

  • question_answer
    A black body radiates energy at the rate of \[E\] W/m2 at a high temperature TK. When the temperature is reduced to \[\frac{T}{2}K\], the radiant energy will be [CPMT 1988; UPSEAT 1998; MNR 1993; SCRA 1996; MP PMT 1992; DPMT 2001; MH CET 2001]

    A)            \[\frac{E}{16}\]                   

    B)            \[\frac{E}{4}\]

    C)            \[4E\]                                      

    D)            \[16E\]

    Correct Answer: A

    Solution :

               \[E\propto {{T}^{4}}\Rightarrow \frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{T}^{4}}}{{{T}^{4}}}\times {{2}^{4}}\Rightarrow {{E}_{2}}=\frac{E}{16}\]


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