A convex mirror has its radius of curvature 20 cm. Find the position and nature of the image of an object placed at a distance of 12 cm from the…

For a convex mirror, f = R/2 = 10 cm, taken as +10 cm in the real-is-positive convention with the object distance u = −12 cm. Use 1/v = 1/f − 1/u… in the convention where a convex mirror has positive f: 1/v = 1/10 + 1/12 = 11/60.

So v = 60/11 = 5.45 cm. The image forms behind the mirror, so it is virtual. A convex mirror always gives a virtual, upright, smaller image.