MHB What Are the Properties of Concave/Convex Spherical Mirrors?

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Concave spherical mirrors have specific properties that can be calculated using formulas. For a concave mirror with a focal length (f) of 12 cm and an object distance (p) of 18 cm, the radius of curvature (r) is determined to be 24 cm. The image distance (i) is calculated as 36 cm, and the magnification (m) is found to be -2. The image produced by the concave mirror is real and inverted, indicating that it is not imaginary. Understanding these properties is essential for applications in optics and physics.
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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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