Question

A divergent lens has a focal length of cm. At what distance should an object of height cm from the optical centre of the lens be placed so that its image is formed cm away from the lens? Find the size of the image also.

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Solution
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We know that for a divergent lens both u and f are -ive , from lens equation 

                      , as both u and f are -ive therefore v will be -ive ,

 given   ,

  so       ,

now linear magnification ,

given height of object ,

therefore   ,

or              

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