a convex mirror having radius of curvature three metre is fitted as a rear view mirror in a bus find the position nature and magnification of image of a car standing behind the bus and 6 cm from the mirror
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Object distance (u)= -5m (always negative)
radius of curvature C = 3m
focal length = 3/2 = 1.5m.
with formula we know that ,
1/v +1/u = 1/f
1/v = 1/1.5 - 1/-5
1/v = -5 - 1.5 /-7.5
1/v = -6.5/-7.5
v = 1.15m
we must find magnification,
m= -v/u
= -1.15/-5
=0.23
the image is formed on the opposite side of the object.so it will be virtual and erect.
and 0.23 is very small where the object is placed beyond C.
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