The distance of an object from the focus of a convex mirror of radius of curvature 'a' is 'b'. Then the distance of the image from the focus is
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The distance of an object from the focus of a convex mirror of radius of curvature 'a' is 'b'. Then the distance of the image from the focus is
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Explanation:
given radius of curvature is a then focus is -a/2
then total distance from pole is b+a/2
we say that is u=-(b+a/2)
1/f=1/u+1/v
=1/v=1/f-1/u
1/v=-2/a+2/b+a
1/v=-2b/a(a+b)
v=-a(a+b)/2b
but the total distance of image from the pole is -a(a+b)/2b
we have to find how it far from the focous
then -a(a+b)/2b-(-a/2)=-a²/2b