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Chapter 18: Refraction and Lenses Pre-Class for Tuesday 4-10-12 In terms of light transmission, what is the difference between mirrors and lenses? • Definition: bending of light as it passes from one material to another • Cause: light travels slower through more optically dense materials • The optical density is measured by the index of refraction (n), which is the ratio of the speed of light in a vacuum (c) to the speed of light in that material (v) n=c/v • Describes how light behaves when passing from one material to another Incident • Light passes through an ray object, but is deflected off its original line Normal Refracted • Amount of refraction is based on the object’s ray optical density and incident angle n1sinq1 = n2sinq2 Total Internal Reflection • Light attempts to pass from one material to another • Light must be traveling from a more dense to a less dense material • If the incident angle is larger than the critical angle (qc), then light is reflected • Law of Reflection applies (qi=qr) sin qc = n2/n1 Pre-Class Wednesday 4-11-12 What causes a rainbow? 3 TYPES OF LENSES • PLANE – flat lens (window) – always gives a real image • CONVEX – curved towards the object (symmetric on both sides) – gives virtual or real images • CONCAVE – curved away from object (symmetric on both sides) – gives virtual or real images LENS EQUATION 1/f = 1/di + 1/do f : focal length di : distance to image from lens do : distance to object from lens MAGNIFICATION M = hi / ho = - di / do M : magnification hi : height of image ho : height of object di : distance from image to lens do : distance from object to lens SIGNS – If di is negative, virtual image – If di is positive, real image – If M is negative, inverted image – If M is positive, upright image – rule of thumb: real images are what we expect, so they are positive (light passes through lens) – remember: just because M is negative does not mean it is smaller, the sign is for orientation only Ray Diagrams for Lenses 1) // OA, thru f1 2) Thru f2, then // OA 3) Thru center of lens Note: use refraction line and not actual lens surface. HW CH 18 67. 1.33; water 69. 25.4o; 28.9o 70. 1.24x108 m/s 71. 24.4o 73. 53o, shallower 75. 1.96x108 m/s; 1.99x108 m/s 78. 28o; 32o; 53o 82. 39.3 cm 83. 10 cm 84. 14 cm 86. -1.5 cm 92. 35 mm, do is infinity 93. 60 mm, -5, -20 mm, -10 94. 21 cm, -0.494 cm, inverted; -324 cm, -40 cm, inverted; -4 100. 0.19 mm Pre-Class Thursday 4-12-12 Which color of light travels the slowest through a material? a) Red b) Green c) Yellow d) Violet Ch19: Interference and Diffraction • Diffraction is the scattering of light from a surface. • Incoherent light: light that travels Sunlight or lightin all directions with circular bulb wavefronts • Coherent light: lightorthat travels inbeam Laser collimated one direction with linear wavefronts Practice Problems Complete the following four: p487 #1-4 Choose three of following: p496 #15-17 p497 #20-23 One piece of paper per group. Be sure everyone’s name is on it. Lenses Activity • For each person, find the position for each lens that produces a sharp, clear image. • Repeat for 2 lenses together Your name Type of lens Lens to eye M Upright or inverted both Lens to lens M Upright or inverted Pre-Class Wednesday 4-15-09 What type of lens is in your eye? Hint: there are only three possibilities. Pre-Class Thursday 4-16-09 What is the smallest value that the index of refraction can be? LENS LAB • Materials: – • Objective: – • meter stick, optical bench kit, lenses Find the focal length for each lens Procedures: 1) Fill-out the chart on the next slide 2) Draw ray diagrams for each different lens 3) Repeat step 1 as time allows for a different lens FILL-IN CHART LENS Convex 1 Convex 2 Convex 3 Concave 1 Concave 2 Concave 3 di do f NOTE: Be sure image is sharp and clear. Look for it on the correct side (real or virtual image).