The image formed by a convex mirror of focal | vedclass

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(B) For a convex mirror,the focal length $f$ is positive,so $f = +30 \ cm$.Given that the magnification $m = +1/4$ (since the image is virtual and ere

Vedclass · Accepted Answer

$90$

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(B) For a convex mirror,the focal length $f$ is positive,so $f = +30 \ cm$.Given that the magnification $m = +1/4$ (since the image is virtual and erect for a convex mirror).The magnification formula for a spherical mirror is $m = \frac{f}{f-u}$.Substituting the values: $\frac{1}{4} = \frac{30}{30-u}$.Cross-multiplying gives: $30 - u = 120$.Solving for $u$: $u = 30 - 120 = -90 \ cm$.The distance of the object from the mirror is the magnitude of $u$,which is $90 \ cm$.

The image formed by a convex mirror of focal length $30 \ cm$ is a quarter of the size of the object. The distance of the object from the mirror is $... \ cm$.

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