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A concave mirror is to form an image of the filament of a headlight lamp on a screen 8.00 m from the mirror. The filament is 6.00 mm tall, and the image is to be 36.0 $\mathrm{cm}$ tall. (a) How far in front of the vertex of the mirror should the filament be placed? (b) To what radius of curvature should yougrind the mirror?

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a) 0.1333 $\mathrm{m}$b) 0.262 $\mathrm{m}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 24

Geometric Optics

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

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A concave mirror is to for…

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A light bulb is 4.00 $\mat…

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A light bulb is 3.00 m fro…

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(a) A concave mirror forms…

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A concave mirror has a rad…

our first thing to notice here is that image is on a screen. Okay? This implies of the image has to Muriel, which means that as prime has to be a positive. Okay, So to kick things off magnification is negative. X prime over s on and in order for us prime to be positive and asked to be as has to be positive Ah, m must be a negative value right on and so on. When we do m equals y prime over. Why we don't just do 36 centimeters over six millimeters which is just there six centimeters for the object hype. We do. Ah, negative. 36 centimeters. Because because we need him to be negative. Okay, so this gives us negative 60 for magnification. It's an inverted, magnified image. Come on, DH. So therefore we have negative 60 equals negative s prime, which is eight meters. One meter is 100 centimetres. So that's 800 centimetres over s. So s comes out to be 13.3 centimetres. That's the object distance. And for part B, we use this formula here to over one autograph just quoted to over our just to impress it two over. Our is equal to one arrest plus one of us prime. So one of our equals, two over s, which is 13 point ah, is that weight looks to over our is ah, one of us. And so that's 13 point one over 13.3 centimeters plus power plus one arrest prime. That's 800 centimetres. You work that out, you get our radius of curvature is 26.2 centimeters and that

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