magnification produced by a convex mirror is 1/n.if the focal length is f, find the object distance, image distance in terms of curvature r.
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Magnification = 1/n.
According to mirror formula, object distance = f(n-1).
In terms of the radius of curvature, we can write Object Distance = R/2 (n-1).
Image distance = (R/2n)(n-1).
Convex mirrors produce images that are virtual, diminished and erect.
Therefore image distance is negative.
The focal length of the mirror is also negative by convention.
According to mirror formula, object distance = f(n-1).
In terms of the radius of curvature, we can write Object Distance = R/2 (n-1).
Image distance = (R/2n)(n-1).
Convex mirrors produce images that are virtual, diminished and erect.
Therefore image distance is negative.
The focal length of the mirror is also negative by convention.
Answered by
32
Answer:
m = 1/n (virtual)
-v/u = 1/n
u = -vn
we know that,
1/v + 1/u = 1/f
1/v - 1/vn = 1/f
n-1/vn = 1/f
f(n-1) = vn
v = f(n-1)/n or v = r(n-1)/2n
and
u = -vn
= {-f(n-1)/n} × n
=-f(n-1)
=-r/2(n-1)
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