1 chapter 3: mirrors and lenses •the lens equation -calculating image location -calculating magnification •multiple lenses -ray tracing. Maybe you've gone into a mirror fun house that has all those weird mirrors that make you look 10 feet tall, skinny in the middle and wide at the top. To determine the image distance, the mirror equation will have to be used the following lines represent the solution to the image distance substitutions and algebraic steps are shown. Working content three models of light the ray model basic principles of the ray model prerequisites: basic principles of the ray model curved mirrors from a careful analysis of the easy-to-draw rays for the formation of a real image in front of a curved mirror, we can straightforwardly figure out the relationship among the distances. Ray diagrams can be used to determine the image location, size, orientation and type of image formed of objects when placed at a given location in front of a mirror the use of these diagrams were demonstrated earlier in lesson 3 and in lesson 4 ray diagrams provide useful information about object. In this video david solves a few exmaple problems involving concave and convex mirrors using the mirror equation and magnification equation. Created date: 3/30/2012 10:19:52 am. The mirror equation and ray diagrams are concepts that are valid only for paraxial rays what is paraxial ray.
To derive a mirror equation for vergences, the above mirror equation can be rewritten: where n is the refractive index of the surrounding medium this then takes the form v f = p +v i. Mirror equations of curved mirrors we use the given picture below to derive the equations of concave and convex mirrors while deriving equations we use the similarities of triangles given picture above we show them with red lines in the picture i do not want to make confusion in your mind and write down the equations that i get from. Spherical concave mirrors the mirror is a section of a sphere objects placed outside the focal point form real, inverted images smaller than the object. Answer to you will begin with a relatively standard calculationconsider a concave spherical mirror with a radius of curvatureequa. Ray diagrams can be used to determine the image location, size, orientation and type of image formed of objects when placed at a given location in front of a concave mirror the use of these diagrams was demonstrated earlier in lesson 3 ray diagrams provide useful information about object-image.
Mirror equation minus since inverted magnification equation consider the real image produced from a concave mirror h o. A parabola with equation = + +, ≠ is a concave mirror which is a small segment of a sphere behaves approximately like a parabolic mirror, focusing parallel light to a point which is midway between the centre and the surface of the sphere. A curved mirror is a mirror with a curved reflecting surface the surface may be either convex (bulging outwards) or concave the gaussian mirror equation, also known as the mirror and lens equation, relates the object distance and image distance to the. Applications of spherical mirrors carlyle moore example 37 equation (115) is known as the gaussian form of the mirror equation show that, for a concave mirror, it may be written as , where f is the focal length of the mirror, and are the x-coordinates of the object and the image, respectively, with respect to the principal focus as origin.
In this problem, you will learn to use the spherical mirror equation: the equation given above allows you to calculate the locations of images and objects frequently, you will also be interested in the size of the image or object the ratio of the size of an image to the size of the object is. Alternate, consistent conventions we may use di erent equations for mirrors and lenses but the same conventions in each case the lateral magni cation is the same for each. 1 1 d 1 d 1 oif += mirror and magnification equation notes_7_snc2de_09 - 10 curved mirror equation ray diagrams for mirrors take a considerable time to draw and are prone to errors.
The mirror equation and ray diagrams are valid concepts only for what types of rays. Mir ror s and lenses click er questions question p103 description: reasoning with geometric optics and ray-tracing from the mirror equation, 1 p + 1 q = 2 r = 1 f, with f 0 since the mirror is concave, the image distance is found to be q pf.
- Physics 41- lab 5 determination of focal length of a converging lens and mirror objective: apply the thin-lens equation and the mirror equation to determine the focal length of a converging (biconvex) lens and mirror.
- Convex mirror equation calculator a convex mirror is a spherical reflecting surface, where the bulging side of the mirror faces the source of light.
- 13 light and reflection curved mirrors 1 a 5 b 2 b 6 c 3 c 7 d 4 b 8 a 9 answers may vary sample answer: a spherical mirror is a portion of a rearrange the equation to isolate the image distance, and calculate 1/q 1/f 1/p 1/q 1/200 cm 1/500 cm 00500/1 cm 00200/1 cm.
- Mirrors and images equations relating image, object and focal lengths concave mirrors convex mirrors aberration modules may be used by teachers, while students may use the whole package for self instruction or for reference.
- As mirrors, prisms, lenses, and fibers • use ray-tracing techniques to locate the images formed by plane and spherical mirrors • use the mirror equations to determine location, size, orientation in the study of geometrical optics.
Hyperbolic mirror in this chapter, some important properties of the hyperbolic mirror will be mathe- there can be found two solution for this equation subject to: (416) for the cause that the ﬁrst one is equal to the hyperbola's focal point (see section. The mirror equation ray diagrams can be used to determine the image location, size, orientation and type of image formed of objects when placed at a given location in front of a concave mirror. In particular, we'll use rays and wave fronts to analyze how light interacts with mirrors and lenses the law of reflection objects can be seen by the light they emit, or, more often, by the light they reflect the mirror equation, rearranged as in the first example, gives. Properties of plane mirrors printer friendly version: for flat mirrors the law of plane mirrors states that the image is always the same distance behind the mirror as the object is in front of the mirror the image. To find the orientation, height, and position of the image using a more mathematical approach, the mirror and magnification equations are used. In this video we will learn the mirror equation and how to find the height and distance of an image.