A convex spherical mirror has a radius of curvature R = 20.0 cm and produces an
upright image precisely one-quarter the size of an object. Calculate the
separation distance between the object and its image?
M = (image height)/(object height) = h'/h = -q/p
1/q + 1/p = 1/f
q = length from mirror to image
p = length from mirroe to object
f = focal point
The Attempt at a Solution
FOR FINDING p (length from mirror to object)
h = 4h'
h'/h = -q/p
h'/4h' = -q/p
q = -p/4
1/(-q) = 1/f - 1/p
4/p + 1/p = 1/f
5/P = 1/10
P = 50
I know this cannot be right because when i go to calculate q it is greater than the focal point and that does not work.
Any help would be great.