At an intersection of hospital hallways, a convex spherical mi is mounted high o

Question

At an intersection of hospital hallways, a convex spherical mi is mounted high on a wall to help people avoid collisions. The magnitude of the mirror's radius of curvature is 0.536 m. (a) Locate the image of a patient 12.0 m from the mirror. (Use the correct sign conventions.) Apply the mirror equation using the correct focal length and object distance to find the image distance. cm (from the mirror) (b) Indicate whether the image is upright or inverted. upright inverted (c) Determine the magnification of the image.

Explanation / Answer

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

(a) Focal length f = -0.26m (½ rad of curvature and virtual)
Object distance, u = +12m (real)
v = image distance

1/u + 1/v = 1/-0.26m
1/v = -1/0.26 - 1/12

v = -0.255 m (behind mirror, virtual)

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