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  4. A convex lens produces a real image m times the size of the object. What will be the distance of the object from the lens?

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Q. A convex lens produces a real image $m$ times the size of the object. What will be the distance of the object from the lens?

Ray Optics and Optical Instruments

Solution:

$m=\frac{f}{f+u} \Rightarrow -m=\frac{f}{f+u} $
$\Rightarrow u=-\left(\frac{m+1}{m}\right) f$