Question

At an intersection of hospital hallways, a convex spherical mirror is mounted high on a wall to help people avoid collisions. The magnitude of the mirror's radius of curvature is 0.506 m.
Locate the image of a patient 12.0 m from the mirror. (Use the correct sign conventions.) in cm

Determine the magnification of the image

Answer 1

A convex mirror always produces an image that is ..
diminished
behind mirror
upright
virtual

(a) Focal length f = -0.253m (½ rad of curvature and virtual)
Object distance, u = +12m (real)
v = image distance

1/u + 1/v = 1/-0.253m
1/v = -1/0.253 - 1/12..

1/v = -4.036.. .. ►v = -0.247 m (behind mirror, virtual)

(b) magnification .. M = - (v/u)
M = -(-0.247 / 12) .. .. ►M = (+) 0.0206 (upright image)

Hope this helps you.

pleaae thumbs up?.