center of Curvacture is always normal to the angle formed by ray on spherical mirror
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Spherical Mirror
Suppose you are sitting at the dining table and you don’t like the food, you start playing with the spoon. You look yourself in the spoon and you notice that you look pretty funny. The moment you get the spoon closer you get a magnified image and when taken far, you see an inverted image.
Do you know what’s really happening? To understand what is happening lets us talk about the special class of mirrors known as spherical mirrors. Let us first understand the terms of spherical mirrors.
The radius of Curvature (c): It is the distance between Pole and the Center of curvature.
Center of Curvature (r): The Center of Curvature of a spherical mirror is the point in the center of the mirror which passes through the curve of the mirror and has the same tangent and curvature at that point.
Aperture: It is a point from which the reflection of light actually happens.
Pole (p): Pole is the midpoint of a mirror. It’s twice the focus.
Focus: It is any point, where light rays parallel to the principal axis, will converge after reflecting from the mirror.
Principal axis: An imaginary line passing through the optical center and the center of curvature of the spherical mirror.
Focal Length: It is on the axis of a mirror where rays of light are parallel to the axis converge after reflection or refraction.