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Published byBrittany Perkins Modified over 9 years ago
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Mirrors that are not flat are called curved mirrors. Depending on whether the reflective coating is on the inside or outside of the curve will decide if it is a concave or convex type of mirror.
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If the mirror is coated on the inside of the curve it is called a concave mirror. Those which reflect from the outside of the curve are called convex mirrors.
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A curved mirror is a cut out section of a circle. In mathematics the distance from the curve to the centre of the circle is referred to as a radius (r). For the purpose of curved mirrors, the centre of the circle is called the centre of curvature (C).
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Any circle is an example of both a concave and convex mirror. Note the solid line is the reflected surface and the hatched side is the back of the mirror.
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The principal axis is a line through the centre of curvature that strikes the mirror at a 90 o angle. The vertex (V) of a curved mirror is where the principal axis meets the mirror. The centre of curvature and vertex both lie along the principal axis.
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Half the distance between the centre of curvature (C) and mirror is called the focus or focal point (F). Therefore, if the focus (F) has a distance of 4 cm from the curved mirror, the centre of curvature(C) is 8 cm. This is why the focus is given the symbol of F and the centre of curvature is located at 2F.
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1. Principal Axis 2. Vertex 3. Focal Point (F) 4. Centre of Curvature 5. Focal Length
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To determine the location of any image in a concave mirror you need to draw at least two incident rays. The following rules will help you to draw the incident and reflected rays for objects with a concave mirror.
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(i) A ray of light, which is parallel to the principal axis of the concave mirror, will reflect off of the mirror and pass through the principal focus (F) V F C
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(ii) A ray of light passing through the center of curvature (C) of a concave mirror will reflect back along the same path V F C
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(iii) A ray of light passing through the principal focus (F) of a concave mirror will reflect back parallel to the principal axis. V F C
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i) A ray of light, which is parallel to the principal axis of a convex mirror will reflect as if it had come from the principal focus. V F C
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ii) A ray of light going towards the center of curvature(C) of a convex mirror is reflected back along the same path. V F C
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iii) A ray of light going towards the principal focus will reflect back parallel to the principal axis. V F C
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