What is the mirror formula for curved mirrors
2 answers:
The mirror formula for curved mirrors is:
where
f is the focal length of the mirror
is the distance of the object from the mirror
is the distance of the image from the mirror
The sign convention that should be used in order to find the correct values is the following:
-
: positive if the mirror is concave, negative if the mirror is convex
-: positive if the image is real (located on the same side of the object), negative if it is virtual (located on the opposite side of the mirror)
where
f is the focal length of the mirror
The sign convention that should be used in order to find the correct values is the following:
-
-
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Answer:
distance between the dime and the mirror, u = 0.30 m
Given:
Radius of curvature, r = 0.40 m
magnification, m = - 2 (since,inverted image)
Solution:
Focal length is half the radius of curvature, f =
f =
Now,
m = -
- 2 = -
= 2 (2)
Now, by lens maker formula:
v = (3)
From eqn (2):
v = 2u
put v = 2u in eqn (3):
2u =
2 =
2(u - 0.20) = 0.20
u = 0.30 m