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 0.542 m. (a) Locate the image of a patient 11.8 m from the mirror. (Use the correct sign conventions.) cm (from the mirror) (b) Indicate whether the image is upright or inverted upright O inverted (c) Determine the magnification of the image.

Answer 1

a] Using mirror formula,

1/u + 1/v = 1/f

1/(-11.8) + 1/v = 1/(0.5*0.542)

v = 0.265 m

= 26.5 cm answer

b] upright because magnification is positive found in third part,

c] magnification M = -v/u = -0.265/-11.8 = 0.02245