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(A) Given: Object distance $u = -12 \ cm$. Magnification $m = -4$ (since the image is real and inverted).Using the magnification formula for a spheric

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$48$

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(A) Given: Object distance $u = -12 \ cm$. Magnification $m = -4$ (since the image is real and inverted).Using the magnification formula for a spherical mirror: $m = -\frac{v}{u}$.Substituting the values: $-4 = -\frac{v}{-12}$.Solving for $v$: $-4 = \frac{v}{12} \implies v = -48 \ cm$.The negative sign indicates that the image is formed in front of the mirror,which is consistent with a real image. Thus,the distance of the image from the mirror is $48 \ cm$.

An object is placed at a distance of $12 \ cm$ in front of a concave mirror. It forms a real image four times larger than the object. Calculate the distance of the image from the mirror. (in $cm$)

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