Midterm Review - Physics 214 Midterm Review Notes Anne C Hanna [email protected] June 6 2005 Contents 1 Disclaimers and usage notes 3 2 Everyday

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Unformatted text preview: Physics 214 Midterm Review Notes Anne C. Hanna [email protected] June 6, 2005 Contents 1 Disclaimers and usage notes 3 2 Everyday waves: the wave equation 3 2.1 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 General properties of sinusoidal solutions . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Properties specific to wave equation sinusoids . . . . . . . . . . . . . . . . . . . . . . 6 3 Interference 6 3.1 Two sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.1.1 Identical nearby sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.1.2 Identical distant sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.1.3 Non-identical sources (phasors and the law of cosines) . . . . . . . . . . . . . 8 3.2 More than two sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2.1 Non-identical sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2.2 Identical sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4 Diffraction 13 4.1 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 4.2 Circular Apertures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1 4.3 Diffraction limitation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 4.4 Phasors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 5 Mixed interference and diffraction 15 6 Particles as waves 16 6.1 The photoelectric effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 6.2 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 6.2.1 Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 6.2.2 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 6.2.3 The Duane-Hunt law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 6.2.4 A note on electron-Volts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 6.3 The two-slit experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 6.4 Wave-particle formulas and factoids . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 6.5 Photons and the wave equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 6.6 Massive particles and the Schroedinger equation . . . . . . . . . . . . . . . . . . . . 23 7 Wavefunctions and probability densities for massive particles 23 2 1 Disclaimers and usage notes These midterm notes are not necessarily complete, correct, or even useful. And even if they were, they shouldn’t be your only review materials. Look through the text and the lecture notes, and try some practice exams too, please! Anything you’ve had to apply in this course, whether it be in homework, discussion packets, quizzes, prelabs, labs, practice exams, or lecture ACTs should be...
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This note was uploaded on 09/15/2008 for the course PHYS 214 taught by Professor Debevec during the Spring '07 term at University of Illinois at Urbana–Champaign.

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Midterm Review - Physics 214 Midterm Review Notes Anne C Hanna [email protected] June 6 2005 Contents 1 Disclaimers and usage notes 3 2 Everyday

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