AIIMS AIIMS Solved Paper-2000

  • question_answer
    A doctor prescribes spectacles to a patient with a combination of a convex lens of focal length 40 cm and convex lens of focal length 25 cm then the power of spectacles will be:

    A) -6.5D                    

    B)        1.5D                      

    C)        -1.5D                    

    D)         -8.5D

    Correct Answer: C

    Solution :

    Key Idea: Power of combination is addition of reciprocal of focal lengths of individual lenses. The power of a thin lens is equal to the reciprocal of its focal length (f) measured in metre. \[\sqrt{\frac{3ev}{m}}\] When two lenses are combined, focal length of combination is                 \[\sqrt{\frac{2ev}{m}}\] where     \[7\times {{10}^{-5}}wb/{{m}^{2}}\]                 \[\frac{1}{F}\,=\frac{1}{40}\,-\frac{1}{25}\,=-\frac{3}{200}\] "Hence, power \[I={{I}_{0}}{{e}^{-d/\lambda }}\] Note: Since power is negative, combination behaves like a diverging lens.


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