$angle of incidence equals angle of reflection...$

When you see yourself in a mirror, it appears that the image is actually behind the mirror ( Figure 1.8). (credit c: modification of work by Diego Torres Silvestre) (c) Moonlight is spread out when it is reflected by the lake, because the surface is shiny but uneven. Only the observer at a particular angle sees the reflected light. (b) A mirror illuminated by many parallel rays reflects them in only one direction, because its surface is very smooth. Reflection of Light Rays, Examples and Solutions.Figure 1.7 (a) When a sheet of paper is illuminated with many parallel incident rays, it can be seen at many different angles, because its surface is rough and diffuses the light.If α = 90 °, the incident ray at A and the reflected ray at B are parallel. We first complete the given diagram with the angles of incidence and reflection as shown below and also labeling the incident and reflected rays.įor the incident ray at A and the reflected ray at B to be parallel, angles i + r and i' + r' have to be supplementary.(geometry: parallel lines cut by a transversal). Simplify to obtain the angle of incidence i' at CĪt each reflection, the angle of incidence decreases by an amount equal to the size of angle α.Ĥ) Find angle α made by the system of the two mirrors shown in the figure below so that the incident ray at A and the reflected ray at B are parallel. ∠CBE = r' (incident ray and reflected ray make angles with surface of reflection of equal size) Substitute r' by 90 - α and r by i in r' to obtain Let AD and CE be the normals to mirror(1) at A and C respectively. We first complete the given diagram drawing the various rays at points of incidence. The two mirrors make an angle α.Įxpress the angles of incidence at point B and point C in terms of the angle of incidence i and angle α? If L and d are fixed, the only way to decrease N is to increase cot(α) and hence decrease α.Ī light ray at an angle of incidence i first strikes mirror (1) at point A, then mirror (2) at point B and then mirror (1) again at point C. Number of reflections = N = L / AC = L / d cot(α) The angle of incidence i = 90 - α = r = i' The number of reflections N that will take place between the two mirrors may be approximated as follows.ĭ) Let the angle made by the light ray and the axis of the two mirror system be α instead of 25 °. Hence i' = r = i = 75 °Ĭ) If the distance between the two mirrors id d = 4 cm, AC can be calculated as follows n1 and n2 are normal to the reflecting mirrors and are therefore perpendicular to the axis of the two mirror system.ī) the two mirrors are parallel and AB intersect both of them, hence angle r and i' are alternate interior and therefore equal in size. Let's use the diagram shown below to answer the questions. If L and d are fixed, what can be done to decrease the number of reflections on the mirrors and hence the energy lost by reflection? The ray makes an angle of 25° with the axis of the two mirrors.Ī) What is the angle of reflection at the point of incidence A?ī) What is the angle of reflection at the point of incidence B?Ĭ) If the distance between the two mirrors id d = 4 cm and the length L of the two mirror system is 3 meters, approximately how many reflections take place between the two mirrors?ĭ) In a real system, at each reflection, there are losses of the light energy travelling between the two mirrors. We use the diagram shown below to answer the questions.Ī) angle of incidence: i = 90 - 56 = 34 °ī)angle of reflection r = i = 34 ° (by the law of reflection)Ī ray of light is reflected by two parallel mirrors (1) and (2) at points A and B. (2) The angle of incidence i and the angle of reflection r have the same size.Ī light ray strikes a reflective plane surface at an angle of 56° with the surface.Ĭ) Find the angle made by the reflected ray and the surface.ĭ) Find the angle made by the incident and reflected rays.

(1) The incident light ray, the reflected light ray and the normal to the interface at the point of incidence make a plane called the plane of incidence R is the angle made by the reflected ray and the normal to the interface and is called the angle of reflection. I is the angle made by the incident ray and the normal to the interface and is called the angle of incidence. The point at which the incident ray strikes the interface is called the point of incidence. The surface separating the two media is called the interface or boundary. We first look at the vocabulary used to describe the reflection of light. When light strikes a perfectly reflecting surface, such a mirror for example, all the light energy is reflected. When a light ray strikes a surface separating two media with different optical properties, part of the light energy is reflected back to the media where it coming from. Reflection of Light Rays on a Reflecting Surface

Angle of incidence equals angle of reflection...