Object distance for convex mirror – Rankers Physics
Topic: Ray Optics
Subtopic: Reflection by Spherical Mirrors

Object distance for convex mirror

A convex mirror of focal length \(10\text{ cm}\) forms an image which is \(\frac{1}{3}\) times of the height of a real object. The distance of the object from the mirror is
\(10\text{ cm}\)
\(30\text{ cm}\)
\(20\text{ cm}\)
\(15\text{ cm}\)

Solution:

For a convex mirror, \(f = +10\text{ cm}\) and magnification is virtual and erect, so \(m = +\frac{1}{3}\). Using \(m = \frac{f}{f-u}\), we get \(\frac{1}{3} = \frac{10}{10-u} \implies 10-u = 30 \implies u = -20\text{ cm}\). The distance is \(20\text{ cm}\).

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