A convex mirror used on a bus has a focal length of 200 cm. If a scooter is
located at 100 cm. from this mirror, find the position, nature and
magnification of the image formed in the mirror.
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Answer:
Given
f=200cm
u=100cm
v=?
mirror formula
1/f=1/u+1/v
by sign convention
1/200=1/-100+1/v
1/v=1/200+1/100
=3/200
v=200/3
=66.6cm
therefore,
the image is formed at 66.6cm behind the mirror and it is virtual image .
m=-v/u
=-66.6/-100=66.6/100=0.66
therefore , the image is erect and smaller in size by a factor of 0.66
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