Class17HO

# Class17HO - Class 17 Mirrors and Lenses Physics 106 Fall...

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Class 17 Mirrors and Lenses Physics 106 Fall 2011 Press CTRL-L to view as a slide show.

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Learning Outcomes Last time we discussed: I Total Internal Reﬂection I Huygens’ Principle
Learning Outcomes Today we will learn about: I Mirror Problems I Images Formed by Refraction I Thin Lenses, Ray Diagrams, and the Lens Equation I Aberrations I Double Slit Interference

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Mirror Problems
Mirror Problem #1 I A convex mirror has a focal length 20 cm from the mirror. An object is placed 10 cm from the mirror. What is the image distance and what is magniﬁcation?

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Mirror Problem #1 I A convex mirror has a focal length 20 cm from the mirror. An object is placed 10 cm from the mirror. Ray diagram:
Mirror Problem #1 I A convex mirror has a focal length 20 cm from the mirror. An object is placed 10 cm from the mirror. f = - 20 cm p = + 10 cm Image distance: 1 q = 1 f - 1 p = 1 - 20 - 1 10 = - 3 20 q = - 6 . 67 cm

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Mirror Problem #1 I A convex mirror has a focal length 20 cm from the mirror. An object is placed 10 cm from the mirror. q = - 6 . 67 cm p = + 10 cm Magniﬁcation: M = - q p = - - 6 . 67 10 = + 0 . 667
Mirror Problem #2 I An object is placed 24 cm from a mirror. The mirror makes an image that is twice as large as the object. What is the focal length of the mirror? Is the mirror concave or convex? I 1) Assume M = + 2. M = - q p = + 2 = - q 24 = 2 q = - 48 cm

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Mirror Problem #2 I An object is placed 24 cm from a mirror. The mirror makes an image that is twice as large as the object. What is the focal length of the mirror? Is the mirror concave or convex? I 1) Assume M = + 2. q = - 48 cm 1 f = 1 p + 1 q = 1 24 + 1 - 48 = + 1 48 f = + 48 cm The mirror is concave.
Mirror Problem #2 p = 24 cm q = - 48 cm f = 48 cm

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Mirror Problem #2 I An object is placed 24 cm from a mirror. The mirror makes an image that is twice as large as the object. What is the focal length of the mirror? Is the mirror concave or convex? I 2) Assume M = - 2. M = - q p = - 2 = - q 24 = - 2 q = + 48 cm
Mirror Problem #2 I An object is placed 24 cm from a mirror. The mirror makes an image that is twice as large as the object. What is the focal length of the mirror? Is the mirror concave or convex? I 2) Assume M = - 2. q = + 48 cm 1 f = 1 p + 1 q = 1 24 + 1 48 = + 3 48 f = + 16 cm The mirror is concave.

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Mirror Problem #2 p = 24 cm q = + 48 cm f = 16 cm
Flat Refracting Surface I The image is on the same side of the surface as the object I The rays bend away from the normal since n 1 > n 2 I The image is virtual I The image forms between the object and the surface

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Thin Lenses
I Assume that the lens is thin so the geometry is easier. I

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Class17HO - Class 17 Mirrors and Lenses Physics 106 Fall...

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