test corrections due tuesday, april 26 th corrections must be done in a different ink color lots of...

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Test Corrections Due Tuesday, April 26 th Corrections must be done in a different ink color Lots of 4’s for effort – doesn’t mean answer is right! Check solutions Show formula, explain your conclusions Mistake in my solutions No points deducted for effort One person did it correctly and got 1 point extra credit! General Physics 2 Geometric Optics 1

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Test Corrections

• Due Tuesday, April 26th

• Corrections must be done in a different ink color• Lots of 4’s for effort – doesn’t mean answer is right!

• Check solutions• Show formula, explain your conclusions

• Mistake in my solutions• No points deducted for effort• One person did it correctly and got 1 point extra credit!

General Physics 2 Geometric Optics 1

General Physics 2 Geometric Optics 2

Geometric Optics

• Ray Model• assume light travels in straight line• uses rays to understand and predict reflection &

refraction

General Physics 2 Geometric Optics 3

Reflection

• Law of reflection• the angle of incidence equals angle of reflection• angles are measured from normal

General Physics 2 Geometric Optics 4

Reflection

Diffuse reflection Specular reflection

General Physics 2 Geometric Optics 5

Plane Mirrors

General Physics 2 Geometric Optics 6

Think-Pair-Share

• How large a mirror do you need to see your whole body?

General Physics 2 Geometric Optics 7

Spherical Mirrors

By using ray tracing and the law of reflection, youcan figure out where the incoming rays are reflected.

General Physics 2 Geometric Optics 8

Focal Point & Focal Length

• Parallel rays striking a concave mirror come together at focal point

f = r/2

r = radius of spheref = focal length

General Physics 2 Geometric Optics 9

Refraction

• index of refraction, n, where c = speed of light in a vacuum and v = speed of light in that medium

• nair = 1

• nglass = 1.5

• Snell’s Law

General Physics 2 Geometric Optics 10

Indices of Refraction

General Physics 2 Geometric Optics 11

Total Internal Reflection• Incident angle where refracted angle (2) is 90 is the

critical angle

• at incident angles greater than critical angle, light is totally internally reflected

important for fiber optic technology (endoscope)

General Physics 2 Geometric Optics 12

Thin Lenses

General Physics 2 Geometric Optics 13

Focal Length, Focal Plane and Power

• f = focal length• Power

• inverse of focal length• P = 1/f• measured in diopter (D)• 1 D = 1 m-1

General Physics 2 Geometric Optics 14

Ray Tracing

General Physics 2 Geometric Optics 15

Thin Lens Equation

Thin Lens Equation Magnification

General Physics 2 Geometric Optics 16

Sign Conventions• focal length

• positive for converging lenses• negative for diverging lenses

• object distance • positive if the object is on the side of the lens from which the light is

coming (this is usually the case)• otherwise, it is negative (virtual object).

• image distance • positive if the image is on the opposite side of lens from where light is

coming• positive for real images, negative for virtual images

• image height• positive if image is upright relative to object, negative for inverted

images• h0 is always positive

General Physics 2 Geometric Optics 17

Combination of Lenses

• When adding two or more lenses in series, the focal length of the combined lenses, f, is:

General Physics 2 Geometric Optics 18

Combining Lenses

• Measure the focal length of the two double-convex lenses individually.

• Combine the lenses together and measure the combined focal length.

• Calculate the combined focal length using the equation.

• Calculate the percent error of your measured value.

Activity

• Handouts with practice problems• Optics Worksheet 1 and 2

General Physics 2 Geometric Optics 19