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  4. A convex lens forms a real image of an object for its two different positions on the screen. If height of the images in two cases are 8 cm and 2 cm, then the height of the object will be :

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Q. A convex lens forms a real image of an object for its two different positions on the screen. If height of the images in two cases are $8\, cm$ and $2\, cm$, then the height of the object will be :

Delhi UMET/DPMTDelhi UMET/DPMT 2002

Solution:

Taking the displacement method into consideration,
we have Height of object $d=\sqrt{{{d}_{1}}{{d}_{2}}}= 8\times 2$ $=\sqrt{8\times 2}$
$= 4\, cm$