JEE Main & Advanced Physics Transmission of Heat Question Bank Topic Test - Transmission of Heat (3-5-21)

  • question_answer
    A black body radiates energy at the rate of \[E\] \[W\text{/}{{m}^{2}}\] at a high temperature TK. When the temperature is reduced to \[\frac{T}{2}K\], the radiant energy will be

    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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