JEE Main & Advanced Physics Ray Optics Question Bank Microscope and Telescope

  • question_answer
    The objective lens of a compound microscope produces magnification of 10. In order to get an overall magnification of 100 when image is formed at 25 cm from the eye, the focal length of the eye lens should be

    A)            4 cm                                         

    B)            10 cm

    C)            \[\frac{25}{9}\]cm             

    D)            9 cm

    Correct Answer: C

    Solution :

                       \[m={{m}_{o}}\times {{m}_{e}}\]\[\Rightarrow m={{m}_{o}}\times \left( 1+\frac{D}{{{f}_{e}}} \right)\]            \[\Rightarrow 100=10\times \left( 1+\frac{25}{{{f}_{e}}} \right)\]\[\Rightarrow {{f}_{e}}=\frac{25}{9}\ cm\]


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