A convex mirror used for rear-view on an automobile has a radius of
curvature of 3.00 m. If a bus is located at 5.00 m from this mirror,
find the position, nature and size of the image.?
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Answer:
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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