AFMC AFMC Solved Paper-2009

  • question_answer
    An eye specialist prescribes spectacles having a combination of a convex lens of focal length 40 cm in contact with a concave lens of focal length 25 cm. The power of this lens combination will be

    A) + 1.5 D                                 

    B) - 1.5 D

    C) + 6.67 D                               

    D) - 6.67 D

    Correct Answer: B

    Solution :

    \[Power=\frac{1}{focal\,length}\]Focal length of combination of convex and concave lens is given by \[\frac{1}{F}=\frac{1}{{{f}_{1}}}+\frac{1}{{{f}_{2}}}\]where \[{{f}_{1}}\] and \[{{f}_{2}}\]be the focal lengths of convex and concave lenses respectively. Now, \[\frac{1}{F}=\frac{1}{0.4}+\frac{1}{(-0.25)}\]                          \[Power\,P=-1.5\,D\]


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