JEE Main & Advanced Physics Ray Optics Question Bank Photometry

  • question_answer
    A lamp is hanging 1 m above the centre of a circular table of diameter 1m. The ratio of illuminaces at the centre and the edge is                                                        [NCERT 1982]

    A)            \[\frac{1}{2}\]                      

    B)            \[{{\left( \frac{5}{4} \right)}^{\frac{3}{2}}}\]

    C)            \[\frac{4}{3}\]                      

    D)            \[\frac{4}{5}\]

    Correct Answer: B

    Solution :

               \[\frac{{{I}_{centre}}}{{{I}_{edge}}}=\frac{{{({{r}^{2}}+{{h}^{2}})}^{3/2}}}{{{h}^{3}}}\]\[=\frac{{{\left( 1+\frac{1}{4} \right)}^{3/2}}}{{{1}^{3}}}\]\[={{\left( \frac{5}{4} \right)}^{3/2}}\]


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