The object distance required to produce a real, magnified image with a convex mirror.

What's given in the problem

Magnification \(M=3\) Radius of curvature (R=30)

Helpful information

Convex mirrors always produce virtual, erect, and diminished images. Therefore, it's impossible to get a real image with a convex mirror. The problem is likely intended for a concave mirror.

Mirror formula: use Magnification formula: Relationship between focal length and radius of curvature: For real images, both \(v\) and \(u\) are negative.

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