JEE Main & Advanced Physics Ray Optics Question Bank Photometry

  • question_answer
    A lamp is hanging at a height of 4m above a table. The lamp is lowered by 1m. The percentage increase in illuminace will be 

    A)            40 %                                         

    B)            64%

    C)            78%                                          

    D)            92%

    Correct Answer: C

    Solution :

               \[{{I}_{1}}=\frac{L}{r_{1}^{2}}=\frac{L}{16}\] and \[{{I}_{2}}=\frac{L}{r_{2}^{2}}=\frac{L}{9}\] % increase in illuminance \[=\frac{{{I}_{2}}-{{I}_{1}}}{I}\times 100\]\[=\left( \frac{16}{9}-1 \right)\times 100\]\[\approx 78\,%\]


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