A 7.50 cm pencil is placed upright at a distance 53.0 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

r_c = 2f so f = r_c/2 (convex mirror is diverging, so f is negative)

a) 1/d_i = 1/f - 1/d₀ solve for d_i (<0 means virtual)

b) m = - d_i/d₀ (m < 0 means inverted) (size of image is |mh₀|)

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