Derivation of the mirror equation video khan academy. We would like to suggest that you combine the reading of this page with the use of our. Use ray diagrams and the mirror equation to calculate the properties of an. In a spherical mirror, the distance of the object from its pole is called the object distance u. Online physics calculator that calculates the concave mirror equation from the given values of object distance do, the image distance di, and the focal length f. In this video david derives the mirror equation and magnification equation. The mirror equation expresses the quantitative relationship between the object.
Reflection of a point object in an arbitrary curved mirror. The mirror formula is applicable both in plane mirrors and spherical mirrors convex and concave mirrors. Reflection and the ray model of light lesson 3 concave mirrors. We now derive the mirror equation or the relation between the object distance u, image distance v and the focal length f. Snc 2d light and geometric optics concave mirrors extra practice worksheet a draw a ray diagram for each to locate the image. Concave mirror equation calculator calculate focal. To derive the relevant formulae for reflection by spherical mirrors and refraction by. The mirror formula derivation is provided here so that. At each iteration of the algorithm the concave part is linearized, leading to a convex subproblem.
The focal length of a spherical mirror is onehalf of its radius of. In this work, i have derived the equation of the curve obtained on reflection. If youre seeing this message, it means were having trouble loading external resources on our website. Combining ray tracing with the mirror equation is a good way to. An image formed by a concave mirror, based on an objects distance from the mirror and the mirrors focal length skills practiced this quiz and worksheet allow students to test the following skills. Derivation of mirror formula and magnification is described briefly in this video. Use the lensmakers equation to determine the focal length of a thin lens. Fix two pins, say e and f, vertically such that the line joining the pins is inclined to. The image a 1 b 1 is formed at a distance v from the mirror. Everywhere i see the derivation of the mirror equation is given by placing an object before the focus and then proving similarity of the triangles to get to the form. Figure 33b shows the reflection of several light rays at a curved mirror. Derivation of mirror formula detailed mirror formula derivation. The figure shows an object ab at a distance u from the pole of a concave mirror.
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