You have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is 1.92m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 3.16m, what is the focal length of the mirror?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter37: Reflection And Images Formed By Reflection
Section: Chapter Questions
Problem 33PQ: An object is placed 25.0 cm from the surface of a convex mirror and an image is formed. The same...
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You have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is 1.92m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 3.16m, what is the focal length of the mirror?

 

The magnification equation and the sign convention for q imply that real images of real objects are always inverted (if both p and q are positive, m is negative); virtual images of real objects are always upright (if p is positive and q is negative, m is positive).  Keeping the signs of p and q straight in your mind is the most challenging aspect of mirrors (and lenses).  Fortunately, table 23.2 summarizes when p and q are positive and when they are negative.

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