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Unformatted text preview: Physics 1112 Spring 2010 University of Georgia Instructor: HBSch¨uttler Formula Sheet for Exam #2 Reading and thoroughly familiarizing yourself with this formula sheet is an important part of, but it is not a substitute for, proper exam preparation. The latter requires, among other things, that you have re-worked all assigned homework problem sets (PS) and the in-class quizzes, studied the posted PS solutions, and worked and studied the assigned conceptual practice (CP) problems, as well as (optionally) some practice test (PT) problems, as posted on the LON-CAPA homework and on the PHYS1112 examples and homework web pages. You should consult the syllabus, and in particular review the Class Schedule on the last syllabus page (posted on the PYS1112 course web site), to find out which topics you should cover in preparing for this exam. Wave Optics, Interference, Diffraction (1) Periodic Wave Condition: v = λf = λ τ (2) Index of Refraction for electromagnetic waves, definition: n = c v = λ vacuum λ with λ vacuum ≡ c/f = cτ . (3) Definition of Path Length Difference for two-source, double-slit or adjacent slits in multi-slit/diffraction grating: Δ ` ≡ ` 2- ` 1 (4) Path Length Difference vs. Angle: Δ ` is given approximately in terms of observation angle θ measured from central axis: Δ ` ∼ = d sin θ if d L where L =distance from slits or sources to observation screen, d =spacing of adjacent sources, slits or lines in double-slit, multi-slit or diffraction grating. (5) Constructive Interference Condition ( ≡ intensity maxima, principal maxima, bright fringes) for two-source, double-slit, multi-slit or diffraction grating: Δ ` = mλ or d sin θ = mλ (if d L ); with m = 0 , ± 1 , ± 2 ,... where m is the ”order” of the (principal) maximum. (6) Destructive Interference Condition 1 ( ≡ intensity minima, dark fringes) for two- source or double-slit experiment: Δ ` = m + 1 2 λ or d sin θ = m + 1 2 λ (if d L ); with m + 1 2 = ± 1 2 , ± 3 2 ,... 1 Physics 1112 Spring 2010 University of Georgia Instructor: HBSch¨uttler (7) Destructive Interference Condition 2 ( ≡ intensity minima, dark fringes) for single- slit diffration with W =slit width and W L : W sin θ = mλ with m = ± 1 , ± 2 ,... (but m 6 = 0) . (8) Destructive Interference Condition 3 for first intensity minimum of circular aperture diffration with W =aperture diameter and W L : W sin θ ∼ = 1 . 22 λ (for 1st circular intensity minimum) ....
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This note was uploaded on 04/23/2010 for the course PHYS 1112L taught by Professor Staff during the Spring '10 term at University of Georgia Athens.
- Spring '10