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Q.

A convex mirror forms an image one-fourth the size of the object.  If object is at a distance of 0.5 m from the mirror, the focal length of the mirror is

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a

0.16 m

b

−1.5 m

c

0.4 m

d

−0.4 m

answer is A.

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Detailed Solution

m=-vu=hih0 -v-0.5=14h0h0 v=18m 1f=1v+1u=118+1-0.5=6 f=16=0.16m
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A convex mirror forms an image one-fourth the size of the object.  If object is at a distance of 0.5 m from the mirror, the focal length of the mirror is