A 7.00 cm pencil is placed upright at a distance 57.0 cm away from the center of a convex mirror. The mirror's radius of curvature is 45.0 cm.

Question

a.) Calculate the image distance.

b.) What is the magnification?

Answer 1

d = 57 - 45 = 12 cm; F = - R/2 = - 22.5 cm

a.) 1/F = 1/d + 1/f; - 1/22.5 = 1/12 + 1/f; f = - 12·22.5/(12 + 22.5) = - 7.82 cm

b.) m = -7.82/12 = - 0.65