Physics Name: __________________ Ray Diagrams and Spherical Mirrors Date: ________ Period: ____ RAY TRACING FOR A CONCAVE MIRROR Ray 1 . This ray is initially parallel to the principal axis and, therefore, passes through the focal point F after reflection from the mirror. Ray 2 . This ray passes through the focal point F and is reflected parallel to the principal axis. Ray 2 is analogous to Ray 1, except that the reflected, rather than the incident, ray is parallel to the principal axis. Ray 3 . This ray travels along a line that passes through the center of curvature C and follows a radius of the spherical mirror; as a result, the ray strikes the mirror perpendicularly and reflects back on itself.
Ray 1. This ray is initially parallel to the principal axis and, therefore, passes through the focal point F after reflection from the mirror.
Ray 2. This ray passes through the focal point F and is reflected parallel to the principal axis. Ray 2 is analogous to Ray 1, except that the reflected, rather than the incident, ray is parallel to the principal axis.
Ray 3. This ray travels along a line that passes through the center of curvature C and follows a radius of the spherical mirror; as a result, the ray strikes the mirror perpendicularly and reflects back on itself.
RAY TRACING FOR A CONVEX MIRROR
Ray 1. This ray is initially parallel to the principal axis and, therefore, appears to originate from the focal point F after reflection from the mirror.
Ray 2. This ray heads toward F, emerging parallel to the principal axis after reflection. Ray 2 is analogous to Ray 1, except that the reflected, rather than the incident, ray is parallel to the principal axis.
Ray 3. This ray travels toward the center of curvature C; as a result, the ray strikes the mirror perpendicularly and reflects back on itself.
MIRROR EQUATION
1/do + 1/di = 1/f
MAGNIFICATION
m = - di / do
FOCAL LENGTH
fconcave = R/2fconvex = - R/2Try the following problems on your own…
1. A 2.0-cm high object is placed 7.10 cm from a concave mirror whose radius of curvature C is 10.20 cm. Find (a) the location and orientation of the image by means of a ray diagram, (b) the focal length of the mirror, (c) the location of the image and (d) the size of the image.
2. An object is placed 6.00 cm in front of a concave mirror that has a 10.0-cm focal length. (a) Determine the location of the image. (b) The object is 1.2 cm high. Find the image height.
3. A convex mirror is used to reflect light from an object placed 66 cm in front of the mirror. The focal length of the mirror is f = -46 cm. Find (a) the location of the image using a ray diagram, (b) the location of the image mathematically and (c) the magnification.
4. An object is placed 9.00 cm in front of a mirror. The image is 3.00 cm closer to the mirror when the mirror is convex than when it is planar. Find the focal length of the convex mirror.
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