What Are the Properties of Concave/Convex Spherical Mirrors?

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SUMMARY

This discussion focuses on the properties of concave spherical mirrors, specifically calculating the radius (r), image distance (i), and magnification (m) using the given parameters: object distance (p) of +18 cm and focal length (f) of 12 cm. The calculations yield a radius (r) of 24 cm, an image distance (i) of 36 cm, and a magnification (m) of -2. The image is determined to be real and inverted based on the sign conventions used in optics.

PREREQUISITES
  • Understanding of spherical mirrors and their properties
  • Familiarity with the mirror formula: (1/p) + (1/i) = (1/f)
  • Knowledge of magnification calculations: m = -i/p
  • Basic concepts of real vs. virtual images in optics
NEXT STEPS
  • Study the derivation of the mirror formula in detail
  • Explore the differences between concave and convex mirrors
  • Learn about ray diagrams for concave mirrors
  • Investigate the applications of spherical mirrors in optical devices
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Students of physics, optical engineers, and anyone interested in the practical applications of concave mirrors in imaging systems.

mglander
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Spherical mirrors. We are given p= +18 and the mirror is concave with f= 12. Find r, i, m, Real or Virtual, Imaginary or not imaginary, and what side of the mirror is the image on. All units are cm.

r: f=r/2, so r=2f r= 24 cm
i: (1/p) + (1/i)= (1/f), so (1/f)-(1/p)=(1/i) i= 36 cm
m: m=-i/p m=-2

At that point, how do you know whether the image is Real or Virtual and Imaginary or Not Imaginary?
 
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