The writing on the passenger-side mirror of your car says \"Warning! Objects in
ID: 1568791 • Letter: T
Question
The writing on the passenger-side mirror of your car says "Warning! Objects in mirror are closer than they appear" (Figure 1) . There is no such warning on the driver's mirror. Consider a typical convex passenger-side mirror with a focal length of -80 cm. A 1.8-m-tall cyclist on a bicycle is 28 m from the mirror. You are 1.4 m from the mirror, and suppose, for simplicity, that the mirror, you, and the cyclist all lie along a line. 1)How far are you from the image of the cyclist? 2)How far would you have been from the image if the mirror were flat? 3)What is the image height? 4)What would the image height have been if the mirror were flat?
Explanation / Answer
a)
object distance p = 28 m
focal length f = -80 cm = -0.8 m
image distance q = ?
1/p + 1/q = 1/f
1/28 + 1/q = -1/0.8
q = -0.78 m
distance of you from mirror = 1.4 + 0.78 = 2.18 m <<<------answer
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2)
if mirror is flat the image distance q = object distance = 28 m
distance of you from mirror = 1.4 + 28 = 29.4 m <<<------answer
3)
image height/object height = q/p
image height = 1.8*0.78/28 = 0.05 m
4)
image height = 1.8*28/28 = 1.8 same as object height
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