Announcements 3/11/11 Prayer More Slinkies? HW & Lab with no CID Exam going on until tomorrow Lab 7 starts tomorrow Term project – progress report due Sat, Mar 19. Grading, out of 10 pts: a. Did you submit a progress report on time? b. Did your progress report show evidence that you had made significant progress on your project, and that you were on track to complete your project on time? c. Was your proposal less than 650 words and in the correct format (text in body of email, figures as attachments if needed)? Brewster’s angle, review The Equation 1 n2 q1 tan n1 The Explanation “Brewster’s Angle” p-polarization field amplitudes vs q 1.0 t 0.8 0.6 0.4 r 0.2 20 0.2 Sunglasses 40 60 80 Thought question If you send an unpolarized beam at a piece of glass at Brewster’s angle, what happens? a. The reflected beam is partially polarized b. The reflected beam is completely polarized c. The transmitted beam is partially polarized d. The transmitted beam is completely polarized e. More than one of the above What’s an image? When you look at it, it looks like there’s an object present (but there isn’t, really) Real a. The light rays you see are all coming from the location of the image Virtual a. The light rays you see all just seem to be coming from the location of the image Reading quiz Is the image you see behind a mirror real or virtual? a. Real b. Virtual How can you ever get a real image to form with a mirror? A Real Image Use a curved mirror On the advantages of arrows… Reading Quiz What is the focal length of a concave mirror with a radius R? a. R b. -R c. R/2 d. -R/2 e. R2 Proved in a HW problem Demos Saucer real image or not. Class poll: What kind of image is this? a. Real b. Virtual Spherical mirror with hanging ball pendulum Curved mirrors Not just any curve will work Fig 36.8 Fig 36.10 Focus: a. every ray coming in parallel will pass through focus b. Every ray passing through focus will exit parallel I will always use f, not R (f=R/2) “paraxial rays” Where will it “focus”? focus useful “third ray”: center of mirror is flat The equation p ho hi focus f q Similar triangles: hi q ho p Similar triangles: hi f hi ho p The equation: 1 1 1 p q f Magnification p ho hi focus f Similar triangles hi q ho p hi Define M: M ho q Useful way q to calculate: M Force M to be negative if image is inverted. p Demo Inverted image in light bulb “Convex mirror”: curved the other way The equation: 1 1 1 p q f virtual image! but f is negative Numbers: f = -5.5 cm, p = 16.5 cm, q = ? -4.1 cm Negative q: means image is in back of mirror Thought question Does a concave (converging) mirror always form a real image? a. Yes b. No Rest of time: class-designed problem(s) p = _____ f = _____ ray diagram = ? q=?