A convex spherical mirror with a radius of 50 cm has a 4.0 cm tall object placed 100 cm in front of it.What is the position of the image relative to the mirror?
A) 20 cm behind the mirror
B) 25 cm behind the mirror
C) 100 cm in front of the mirror
D) 25 cm in front of the mirror
E) 20 cm in front of the mirror

Question

Quizplus · Accepted Answer

The mirror formula is 1/f = 1/v + 1/u. For a convex mirror, the focal length f = R/2 = 25 cm (positive for convex). The object distance u = -100 cm (negative as per sign convention). Solving gives v = -20 cm, meaning the image is 20 cm behind the mirror.

A Convex Spherical Mirror with a Radius of 50 Cm