An object is at a distance of 5m from a convex mirror of radius of curvature +20cm. Find the position and nature of the image?
Answers
Answer:
Explanation:
R=20 that implies f=R/2=10
The size of image is exactly half the object ,that implies,the magnification m=0.5 i.e. -v/u=(-0.5) i.e. u=-2v
Apply the mirror formula
1/v + 1/u=1/f
1/v — 1/(2v) = 1/10 (reason:u=-2v)
1/(2v) = 1/10
i.e. v=5 & u=-2v=-10
So,object should be placed at 10cm in front of the mirror
Notice v comes out to be negative as it on the right side of the principle axis and we follow the sign convention and the image formed is virtual.
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R=20 that implies f=R/2=10