An image formed by a convex mirror of focal l | vedclass

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(B) For a convex mirror,the focal length $f = +30 \ cm$. The magnification $m$ is given as $m = +1/4$ (since the image formed by a convex mirror is al

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$90$

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

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

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