An object is placed 20 cm in front of a convex mirror. The resulting image is erect and half the size of the object. What is the focal length of the mirror?
image distance u = 20 cm
image height y' = y/2
magnification m = y'/y
m = 1/2
magnification m = -v/u
v = -u/2 = -20/2 = -10 cm
from the relation
1/f = 1/u+1/v
f = uv/u+v
f = 20*-10/10 = -20 cm
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