BCECE Medical BCECE Medical Solved Papers-2010

  • question_answer
    The figure shows an equiconvex lens of focal length\[f\]. If the lens is cut along PQ, the focal length of each half will be

    A)  \[\frac{f}{2}\]                

    B)  \[f\]

    C)  \[2f\]              

    D)  \[4f\]

    Correct Answer: C

    Solution :

    According to Lens Makers formula,                 \[\frac{1}{f}=(\mu -1)\left( \frac{1}{R}-\frac{1}{-R} \right)\] \[\Rightarrow \] \[\frac{1}{f}=(\mu -1)\left( \frac{2}{R} \right)\] ? (i) On cutting, \[\frac{1}{f}=(\mu -1)\left( \frac{1}{R}-\frac{1}{\infty } \right)\]                 \[\frac{1}{f}=(\mu -1)\left( \frac{1}{R} \right)\] ? (ii) From Eqs. (i) and (ii), we get \[f=2f\]


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