AP Physics Mr. Jean March 2nd, 2012.

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Presentation transcript:

AP Physics Mr. Jean March 2nd, 2012

The plan: Refraction & dispersion Len & mirror videos Examples & Diagrams Convex mirror (spherical mirror) Quest assignment reminder

Wave through an opening: Next three slides: image credit to Dr. Durfee

Index of Refraction v = c/n

(l going into material) Index of Refraction Different wavelengths have different speeds! v = lf linside = lvacuum/n Different frequencies have different speeds! Dispersion! (l going into material) blue green red Image: http://en.wikipedia.org/wiki/Dispersion_(optics) Song: Roy G. Biv

Index of Refraction Light ray at boundary fast light (smaller n) q1 q2 fast light (smaller n) slow light (larger n)

Demo 6.1: White light through a mirror.

Snell’s Law n1sinq1 = n2sinq2 fast light (smaller n) slow light (larger n) n1sinq1 = n2sinq2

Demonstration: 6.2 Total internal reflection.

Fresnel Coefficients & Equations If near perpendicular (1-D problem) For arbitrary angle

Law of Reflection qrefl. = q1 fast light (smaller n) Reflections occur off of any boundary, not just via mirrors slow light (larger n) q2

Image Formation: Video 6.3 to 6.6

Convex/converging Lens at each interface, Snell’s law is satisfied f if not parallel, they converge (image formed) at a different point parallel rays converge to the focal point

Where will image be formed? focus focus Ray diagram just like one for concave mirror, except rays continue to right instead of reflecting back! The equation: Magnification same: positive q = right hand side of lens

Concave/diverging Lens f parallel rays seem to be coming from the focal point

Diverging lenses virtual image! The equation: (negative f) Negative q: means image on same side of lens as object (virtual)

Thick lenses and surfaces Careful with signs!!! (see table 36.2) Lens-makers’ eqn:

Convex Mirror: An object is 15 cm from the surface of a reflective spherical Christmas-tree ornament 6cm in diameter. What is the position of the image?

Quest Course Name: AP_Phy Unique Name: AP_Phy_MHS_2012 Register for this course. Assignment #1 Optics Due on March 9th, 2012 *** It may be listed under Fall2011 as opposed to Winter 2012. Double check this.***