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JEE Main & Advanced Physics Transmission of Heat Question Bank Graphical Questions

  • question_answer
    The spectrum of a black body at two temperatures 27oC and 327oC is shown in the figure. Let A1 and A2 be the areas under the two curves respectively. The value of \[\frac{{{A}_{2}}}{{{A}_{1}}}\] is                 

    A)            1 : 16

    B)            4 : 1

    C)            2 : 1

    D)            16 : 1

    Correct Answer: D

    Solution :

                       Area under given curve represents emissive power and emissive power µ T4  \[\Rightarrow \,\,A\propto {{T}^{4}}\] \[\Rightarrow \,\frac{{{A}_{2}}}{{{A}_{1}}}=\frac{T_{2}^{4}}{T_{1}^{4}}=\frac{{{(273+327)}^{4}}}{{{(273+27)}^{4}}}={{\left( \frac{600}{300} \right)}^{4}}\]= \[\frac{16}{1}\]


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