NEET Sample Paper NEET Sample Test Paper-26

  • question_answer
    Two spherical black bodies have maximum emission corresponding to wavelength, which are in the ratio of \[2:3\] and their radii are in the ratio of \[4:9\]. Then ratio of their emissive powers will be (assume same emissivity of body)

    A)  \[1:1\]      

    B)  \[81/16\]

    C)  \[36/81\]                    

    D)  \[8/17\]

    Correct Answer: A

    Solution :

    As,       \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{3}{2}\] \[\Rightarrow \]               \[{{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{4}}=\frac{81}{16}\] and        \[\frac{{{A}_{1}}}{{{A}_{2}}}={{\left[ \frac{{{r}_{1}}}{{{r}_{2}}} \right]}^{2}}=\frac{16}{81}\] also        \[{{E}_{1}}=e\sigma A{{T}^{4}}\]                 \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{1}{1}=1:1\]


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