Question
In the displacement method the distance between the object and the screen is $70\; cm$ and the focal length of the lens is $16 \;cm$, find the separation between the magnified and diminished image position of the lens.

Answer

$d\,\, = \,\,\,\sqrt {{D^2} - 4\,{{f}}d} \,\,$

$=\,\,\sqrt {{{(70)}^2} - 4\,\, \times \,\,16\,\, \times \,\,70} \,\,\, = \,\,\sqrt {420} \,\,\, = \,\,20.5\,\,\,cm$

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