... With just a little practice, it becomes very easy to use both of these equations. 10.2 Introduction 10.2.1 The Thin-Lens Equation Lenses are common optical devices constructed of transparent material e.g. Here is the Thin Lens Equation using the same notation as in the video: ... For beginning problems it is positive. sign conventions . Ray 1: Ray 1: A ray parallel to the lens axis passes through the far focus of a converging lens or appears to come from the near focus of a diverging lens. 10 M 1 10 1 1L 1 A L L f One side of the lens is flat, and the other is convex with the radius of curvature of 30 cm. Converging Lens. Use the thin lens equation to find the distance of the image. Problem 48. image formation: thin lenses Problem 47. PHY 2049: Chapter 36 14 Reflection and Interference from Thin Films ÎNormal-incidence light strikes surface covered by a thin film Some rays reflect from film surface Some rays reflect from substrate surface (distance d further) ÎPath length difference = 2d causes interference From full constructive to full destructive, depending on λ d n 1 n 2 n 0 = 1 Physics 152 Diverging & Converging LENS Worksheet The same object (height = y) is placed at several different distances s to the left of the same lens (focal length = f). Problems with more than one lens can have negative values for d o since the image of the first lens becomes the object of the second. Problem Solving . Whenever a light ray hits the interface between two tr ansparent materials, generally some of the light is reflected (the angle of reflection equals the angle of incidence: θ r … Sunlight is unpolarized but the reﬂection will be partly polarized so it can be reduced by the glasses. Reﬂection, thin lenses 2.2 Solutions 940406:3 Polarizing sunglasses works by absorbing one polarization and transmitting the other. omit: Question 1 A 15-cm tall object is placed 39 cm from a Then use the “thin lens” equations to calculate: ⇒ the thin-lens / mirror equation and the magnification equation . The application of the thin lens equation and the magniﬁcation equations to single and compound lens systems will be investigated. Problems and solutions Session 2. 6a) A 15.0 cm object is placed 10.0 cm from a convex lens, which has a focal length of 15.0 cm. Draw a ray diagram and use the information from the ray diagram to fill in the box. Lens Practice: i) Locate the each of the following objects with a ray tracing, ii) Locate each of the following objects with the thin lens equation, iii) Determine the magnification with your ray tracing, iv) Determine the magnification mathematically, v) Check that your answers match (if you didn’t already), vi) For each case, draw the 3 principal rays to locate the image. What is the focal length of the lens? Lens Equation | Study.com Practice Problems Thin Lens Equation Directions: On this worksheet you will be able to practice using the thin lens equation with spherical lenses. The reﬂectance of the two polarizations are given by R? Physics problems: optics. 6b) A 15.0 cm object is placed 10.0 cm from a convex lens, which has a focal length of 15.0 cm. Solution . A lens is made of glass with index of refraction 1.5. Examples: tow thin lenses in air separated by a distance L Focal lengths of the lenses , , Assume the input and output reference planes are located on the lenses ff AB Assume the input and output reference planes are located on the lenses. lots of examples . The system transfer matrix includes two thin-lens matrices and a translation matrix. Diverging Lens. Ray 1: A ray parallel to the lens axis passes through the far focus of a converging lens or appears to come from the near focus of a diverging lens.