You are given a spherical mirror and wish to determine its properties. You place an object on its axis, 45.9 cm in front of it, and discover that the mirror creates a virtual image located 16.1 cm from the mirror.
Find the mirror's focal length.
focal length: cm
Calculate the mirror's radius of curvature.
radius of curvature: cm
If it can be determined, is the mirror concave or convex?
cannot be determined
convex
concave
Solution)
Given,
Object distance, P=45.9 cm
Image distance, q=-16.1 cm
We know mirror equation,
1/f= 1/p + 1/q
1/f= 1/45.9 -1/16.1
F= -24.7 cm
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Radius of curvature= 2f=2*(-24.7)= -49.5 cm
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Negative sign means convex mirror.
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