A convex lens of focal length f produces an i | vedclass

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Question

(C) For a convex lens,the magnification $m$ is given by the formula $m = \frac{f}{f + u}$,where $f$ is the focal length and $u$ is the object distance

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$(n + 1)f$

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(C) For a convex lens,the magnification $m$ is given by the formula $m = \frac{f}{f + u}$,where $f$ is the focal length and $u$ is the object distance.Given that the image size is $\frac{1}{n}$ times the object size,the magnification $m = -\frac{1}{n}$ (for a real image).Substituting the values: $-\frac{1}{n} = \frac{f}{f + u}$.Cross-multiplying gives: $-(f + u) = nf$.$-f - u = nf$.$u = -nf - f = -(n + 1)f$.The distance of the object from the lens is the magnitude of $u$,which is $(n + 1)f$.

$A$ convex lens of focal length $f$ produces an image $\frac{1}{n}$ times the size of the object. The distance of the object from the lens is:

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