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 $f = +30 \ cm$.The magnification $m$ for a virtual and erect image formed by a convex mirr

Vedclass · Accepted Answer

$90$

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(B) For a convex mirror,the focal length $f$ is positive,so $f = +30 \ cm$.The magnification $m$ for a virtual and erect image formed by a convex mirror is positive. Given that the image size is a quarter of the object size,$m = +\frac{1}{4}$.The formula for magnification in terms of focal length and object distance $u$ 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 negative sign indicates that the object is placed in front of the mirror at a distance of $90 \ cm$.

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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