Haryana PMT Haryana PMT Solved Paper-2008

  • question_answer
    A convex lens and a concave lens, each having   same focal length of 25 cm, are put in contact     to form a combination of lenses. The power in diopters of the combination is

    A)  25                                         

    B)  50

    C)  infinite                                

    D)  zero

    Correct Answer: D

    Solution :

                    Focal length of combination of lenses placed in contact is                     \[\frac{1}{F}=\frac{1}{{{f}_{1}}}+\frac{1}{{{f}_{2}}}\]                 For convex lens,  \[{{f}_{1}}=25cm\] For concave lens, \[{{f}_{2}}=-25cm\] Hence,  \[\frac{1}{F}=\frac{1}{25}+\frac{1}{-25}\]                 \[=\frac{1}{25}-\frac{1}{25}=0\] \[\therefore \]  \[F=\frac{1}{0}=\infty \] Hence, power of combination,                 \[P=\frac{1}{F}=0\]


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