A convex mirror used for rear view in a automobile has a radius of curvature of 2.00m.if a bus is located at 6:00m from this mirror, find the position and nature of the image.
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Given :
R=3m
f=R/2=3/2=1.5m
u=5m
v=?
Mirror formula:
1/f=1/u+1/v
by sign conventions:
1/1.5=1/-5+1/v
1/v=1/1.5+1/5⇒6.5/7.5
v=7.5/6.5
=1.15m
∴The image is virtual seen at the back of mirror.
m=hi/ho=-v/u
-1.15/-5=0.23
∴Image is erect and diminished in size by a factor of 0.23
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