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$\bullet$ Examining your image in a convex mirror whose radius of curvature is $25.0 \mathrm{cm},$ you stand with the tip of your nose 10.0 $\mathrm{cm}$ from the surface of the mirror. (a) Where is the image of your nose located? What is its magnification? (b) Your ear is 10.0 $\mathrm{cm}$behind the tip of your nose; where is the image of your ear located, and what is its magnification? Do your answers suggest reasons for your strange appearance in a convex mirror?

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a) $-5.556 \mathrm{cm}$ The magnification is $+0.5556$b) $-7.690 \mathrm{cm}$ The magnification is $+0.3845$Convex mirrors always produce virtual images behind the mirror, where the image will be always upright and smaller than the object.

Physics 102 Electricity and Magnetism

Physics 103

Chapter 24

Geometric Optics

Electromagnetic Waves

Reflection and Refraction of Light

Lupus P.

June 14, 2021

where does the inverse come from again?

University of Washington

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Lectures

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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.

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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 convex spherical mirror,…

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The radius of curvature of…

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03:45

An object is placed $10.0 …

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A virtual image of magnifi…

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A virtual image is formed …

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A convex lens $(f=20.0 \ma…

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When viewed in a spherical…

So for a convex mirror, you will have a negative radius of curvature. Meaning that are we have is negative. 25 centimeters. It was calm cave and be positive. 25. So apart to find image distance at magnification, we simply use this Formula one over s plus our object distance. This one of image distance is too over radius of curvature. So one over. Image distance, therefore is too over r minus one over s. And so that's negative to over 25 minus one over 10. Now, this is all in centimeters, so this gives us you work it out in verse and it gives us image distance off negative. 5.56 centimetres. So magnification, therefore, is negative image distance over object distance. So that's 5.56 over 10. So magnification has 0.55 six or about 55%. Okay, um and then in part, B. V Ah. What is happening is that your beers are so this is for your nose, your ears, or 10 centimeters behind you. So your new asked new object distance will be 10 plus 10. That's 20 centimeters. Okay. And so once again, you have won over as prime. Let's go back to blue of one of us. Crime is equal to two over R minus one over s. That's a negative two over 25 minus one over 20 this time. So in this case as prime, the image distance of the image of your fears is, uh is negative 7.69 cents aliens. So again, using the magnification formula, we have 7.69 over 20. And so that's point 385 So it's about 38% magnified 0.385 times magnified. This means is that the is that the image of your fears will be much less them. Image are the size of the rich of your years will be much less in the size of the image have of notes. So your nose will appear much larger than your ears in proportion. That is why the eventual appear weird and that's it

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