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CMC Medical CMC-Medical Ludhiana Solved Paper-2012

  • question_answer
    The correct relation between the linear magnification m, the object distance u and the focal length\[f,\] for a mirror is given by

    A)  \[m=\frac{f}{f-u}\]                        

    B)  \[m=\frac{f-u}{f}\]

    C)  \[m=\frac{f}{f+u}\]                       

    D)  \[m=\frac{f+u}{f}\]

    Correct Answer: A

    Solution :

                    Magnification, \[m=\frac{-v}{u}\] But         \[\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\]       (Mirror formula) \[\Rightarrow \]               \[\frac{u}{f}=\frac{u}{v}+1\] \[\Rightarrow \]               \[-\frac{u}{v}=1-\frac{u}{f}\] \[\Rightarrow \]               \[\frac{-v}{u}=\frac{f}{f-u}\] So,          \[m=\frac{f}{f-u}\]


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