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

  • question_answer
    The ratio of radiant energies radiated per unit surface area by two bodies is 16 : 1, the temperature of hotter body is 1000K, then the temperature of colder body will be

    A) 250 K

    B) 500 K

    C) 1000 K

    D) 62.5 K

    Correct Answer: B

    Solution :

    \[Q\propto {{T}^{4}}\]\[\Rightarrow \] \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{T_{1}^{4}}{T_{2}^{4}}\] \[\Rightarrow \] \[T_{2}^{4}=\left( \frac{{{E}_{2}}}{{{E}_{1}}} \right)T_{1}^{4}\]             \[\Rightarrow \] \[T_{2}^{4}=\frac{1}{16}\times {{(1000)}^{4}}={{\left( \frac{1000}{2} \right)}^{4}}\]\[\Rightarrow \] \[{{T}_{2}}=500K\]

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