1) You are standing 1.5 m from a convex security mirror in a store. You estimate
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Question
1) You are standing 1.5 m from a convex security mirror in a store. You estimate the height of your image to be half of your actual height. Estimate the radius of curvature of the mirror. Follow the sign conventions. Express your answer to one significant figure and include the appropriate units
2) Some rearview mirrors produce images of cars to your rear that are smaller than they would be if the mirror were flat.Are the mirrors concave or convex?Are the mirrors concave or convex?
3)A dentist wants a small mirror that, when 2.80 cmfrom a tooth, will produce a 3.5× upright image.What kind of mirror must be used, concave or convex?What must its radius of curvature be? Follow the sign conventions. answer to two significant figures
Explanation / Answer
1) F=(Do)(Di)/(Do+Di)
=(1.5)(1.5)/(1.5+1.5)
=2.25/3
=0.75
R=2F
=2*0.75
=1.5m
2)convex mirror
3)concave mirror
M=di/do
3.5=di/(2.80)
di=9.8cm
1/f=1/do+1/di
1/f=1/(2.80cm)+1/(-9.8cm)
f=3.92cm
R=2*f
=2*3.92
R=7.84cm.
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