JEE Main & Advanced Physics Ray Optics Question Bank Photometry

  • question_answer
    Find the luminous intensity of the sun if it produces the same illuminance on the earth as produced by a bulb of 10000 candela at a distance 0.3 m. The distance between the sun and the earth is \[1.5\times {{10}^{11}}m\]  

    A)            \[25\times {{10}^{22}}cd\]     

    B)            \[25\times {{10}^{18}}cd\]

    C)            \[25\times {{10}^{26}}cd\]     

    D)            \[25\times {{10}^{36}}cd\]

    Correct Answer: C

    Solution :

                       Illuminance produce by the sun \[=\frac{L}{{{(1.5\times {{10}^{11}})}^{2}}}\]                     Illuminance produce by the bulb \[=\frac{10000}{{{(0.3)}^{2}}}\]                    According to problem  \[\frac{L}{{{(1.5\times {{10}^{11}})}^{2}}}=\frac{10000}{{{(0.3)}^{2}}}\]            \[\Rightarrow L=\frac{2.25\times {{10}^{22}}\times {{10}^{4}}}{9\times {{10}^{-2}}}\]\[=25\times {{10}^{26}}Cd\]


You need to login to perform this action.
You will be redirected in 3 sec spinner